(5x+2)-(7x^2+5x-6)=

Solution for (5x+2)-(7x^2+5x-6)= equation:

Simplifying
(5x + 2) + -1(7x2 + 5x + -6) = 0

Reorder the terms:
(2 + 5x) + -1(7x2 + 5x + -6) = 0

Remove parenthesis around (2 + 5x)
2 + 5x + -1(7x2 + 5x + -6) = 0

Reorder the terms:
2 + 5x + -1(-6 + 5x + 7x2) = 0
2 + 5x + (-6 * -1 + 5x * -1 + 7x2 * -1) = 0
2 + 5x + (6 + -5x + -7x2) = 0

Reorder the terms:
2 + 6 + 5x + -5x + -7x2 = 0

Combine like terms: 2 + 6 = 8
8 + 5x + -5x + -7x2 = 0

Combine like terms: 5x + -5x = 0
8 + 0 + -7x2 = 0
8 + -7x2 = 0

Solving
8 + -7x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -7x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x2 = 0 + -8
-7x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-7x2 = -8

Divide each side by '-7'.
x2 = 1.142857143

Simplifying
x2 = 1.142857143

Take the square root of each side:
x = {-1.069044968, 1.069044968}