4x^2-3x+6*-7x^2+3x+6=

Solution for 4x^2-3x+6*-7x^2+3x+6= equation:

Simplifying
4x2 + -3x + 6 * -7x2 + 3x + 6 = 0

Multiply 6 * -7
4x2 + -3x + -42x2 + 3x + 6 = 0

Reorder the terms:
6 + -3x + 3x + 4x2 + -42x2 = 0

Combine like terms: -3x + 3x = 0
6 + 0 + 4x2 + -42x2 = 0
6 + 4x2 + -42x2 = 0

Combine like terms: 4x2 + -42x2 = -38x2
6 + -38x2 = 0

Solving
6 + -38x2 = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -38x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -38x2 = 0 + -6
-38x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-38x2 = -6

Divide each side by '-38'.
x2 = 0.1578947368

Simplifying
x2 = 0.1578947368

Take the square root of each side:
x = {-0.397359707, 0.397359707}