Solve 125478595x*115465955x=564582655

$$125478595x \times 115465955x=564582655$$

Solve for x

$$x=\frac{7\sqrt{55186095959889445655}}{263427378249695}\approx 0.000197402$$

$$x=-\frac{7\sqrt{55186095959889445655}}{263427378249695}\approx -0.000197402$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$125478595x^{2}\times 115465955=564582655$$

Multiply 125478595 and 115465955 to get 14488505803733225.

$$14488505803733225x^{2}=564582655$$

Divide both sides by 14488505803733225.

$$x^{2}=\frac{564582655}{14488505803733225}$$

Reduce the fraction \frac{564582655}{14488505803733225} to lowest terms by extracting and canceling out 5.

$$x^{2}=\frac{112916531}{2897701160746645}$$

Take the square root of both sides of the equation.

$$x=\frac{7\sqrt{55186095959889445655}}{263427378249695} x=-\frac{7\sqrt{55186095959889445655}}{263427378249695}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$125478595x^{2}\times 115465955=564582655$$

Multiply 125478595 and 115465955 to get 14488505803733225.

$$14488505803733225x^{2}=564582655$$

Subtract 564582655 from both sides.

$$14488505803733225x^{2}-564582655=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 14488505803733225 for a, 0 for b, and -564582655 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 14488505803733225\left(-564582655\right)}}{2\times 14488505803733225}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 14488505803733225\left(-564582655\right)}}{2\times 14488505803733225}$$

Multiply -4 times 14488505803733225.

$$x=\frac{0±\sqrt{-57954023214932900\left(-564582655\right)}}{2\times 14488505803733225}$$

Multiply -57954023214932900 times -564582655.

$$x=\frac{0±\sqrt{32719836294618452328849500}}{2\times 14488505803733225}$$

Take the square root of 32719836294618452328849500.

$$x=\frac{0±770\sqrt{55186095959889445655}}{2\times 14488505803733225}$$

Multiply 2 times 14488505803733225.

$$x=\frac{0±770\sqrt{55186095959889445655}}{28977011607466450}$$

Now solve the equation x=\frac{0±770\sqrt{55186095959889445655}}{28977011607466450} when ± is plus.

$$x=\frac{7\sqrt{55186095959889445655}}{263427378249695}$$

Now solve the equation x=\frac{0±770\sqrt{55186095959889445655}}{28977011607466450} when ± is minus.

$$x=-\frac{7\sqrt{55186095959889445655}}{263427378249695}$$

The equation is now solved.

$$x=\frac{7\sqrt{55186095959889445655}}{263427378249695} x=-\frac{7\sqrt{55186095959889445655}}{263427378249695}$$