7(4x^2-3)-[5(3x^2-4)+5]=

Solution for 7(4x^2-3)-[5(3x^2-4)+5]= equation:

Simplifying
7(4x2 + -3) + -1[5(3x2 + -4) + 5] = 0

Reorder the terms:
7(-3 + 4x2) + -1[5(3x2 + -4) + 5] = 0
(-3 * 7 + 4x2 * 7) + -1[5(3x2 + -4) + 5] = 0
(-21 + 28x2) + -1[5(3x2 + -4) + 5] = 0

Reorder the terms:
-21 + 28x2 + -1[5(-4 + 3x2) + 5] = 0
-21 + 28x2 + -1[(-4 * 5 + 3x2 * 5) + 5] = 0
-21 + 28x2 + -1[(-20 + 15x2) + 5] = 0

Reorder the terms:
-21 + 28x2 + -1[-20 + 5 + 15x2] = 0

Combine like terms: -20 + 5 = -15
-21 + 28x2 + -1[-15 + 15x2] = 0
-21 + 28x2 + [-15 * -1 + 15x2 * -1] = 0
-21 + 28x2 + [15 + -15x2] = 0

Reorder the terms:
-21 + 15 + 28x2 + -15x2 = 0

Combine like terms: -21 + 15 = -6
-6 + 28x2 + -15x2 = 0

Combine like terms: 28x2 + -15x2 = 13x2
-6 + 13x2 = 0

Solving
-6 + 13x2 = 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 + 13x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 13x2 = 0 + 6
13x2 = 0 + 6

Combine like terms: 0 + 6 = 6
13x2 = 6

Divide each side by '13'.
x2 = 0.4615384615

Simplifying
x2 = 0.4615384615

Take the square root of each side:
x = {-0.67936622, 0.67936622}