Solve (x-5)*(2x-7)=2x^2+52x=

$$( x - 5 ) \cdot ( 2 x - 7 ) = 2 x ^ { 2 } + 52 x =$$

Solve for x

$$x=\frac{35}{69}\approx 0.507246377$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-5 by 2x-7 and combine like terms.

$$2x^{2}-17x+35=2x^{2}+52x$$

Subtract 2x^{2} from both sides.

$$2x^{2}-17x+35-2x^{2}=52x$$

Combine 2x^{2} and -2x^{2} to get 0.

$$-17x+35=52x$$

Subtract 52x from both sides.

$$-17x+35-52x=0$$

Combine -17x and -52x to get -69x.

$$-69x+35=0$$

Subtract 35 from both sides. Anything subtracted from zero gives its negation.

$$-69x=-35$$

Divide both sides by -69.

$$x=\frac{-35}{-69}$$

Fraction \frac{-35}{-69} can be simplified to \frac{35}{69} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{35}{69}$$