Solve 6x^2+35*6=0

$$6 x ^ { 2 } + 35 \times 6 = 0$$

Solve for x (complex solution)

$$x=-\sqrt{35}i\approx -0-5.916079783i$$

$$x=\sqrt{35}i\approx 5.916079783i$$

Steps by Finding Square Root

Multiply 35 and 6 to get 210.

$$6x^{2}+210=0$$

Subtract 210 from both sides. Anything subtracted from zero gives its negation.

$$6x^{2}=-210$$

Divide both sides by 6.

$$x^{2}=\frac{-210}{6}$$

Divide -210 by 6 to get -35.

$$x^{2}=-35$$

The equation is now solved.

$$x=\sqrt{35}i x=-\sqrt{35}i$$

Steps Using the Quadratic Formula

Multiply 35 and 6 to get 210.

$$6x^{2}+210=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 6 for a, 0 for b, and 210 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\times 210}}{2\times 6}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 6\times 210}}{2\times 6}$$

Multiply -4 times 6.

$$x=\frac{0±\sqrt{-24\times 210}}{2\times 6}$$

Multiply -24 times 210.

$$x=\frac{0±\sqrt{-5040}}{2\times 6}$$

Take the square root of -5040.

$$x=\frac{0±12\sqrt{35}i}{2\times 6}$$

Multiply 2 times 6.

$$x=\frac{0±12\sqrt{35}i}{12}$$

Now solve the equation x=\frac{0±12\sqrt{35}i}{12} when ± is plus.

$$x=\sqrt{35}i$$

Now solve the equation x=\frac{0±12\sqrt{35}i}{12} when ± is minus.

$$x=-\sqrt{35}i$$

The equation is now solved.

$$x=\sqrt{35}i x=-\sqrt{35}i$$