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

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

Simplifying
4x2 + 5 + -3[2(x2 + -3) + 7] = 0

Reorder the terms:
4x2 + 5 + -3[2(-3 + x2) + 7] = 0
4x2 + 5 + -3[(-3 * 2 + x2 * 2) + 7] = 0
4x2 + 5 + -3[(-6 + 2x2) + 7] = 0

Reorder the terms:
4x2 + 5 + -3[-6 + 7 + 2x2] = 0

Combine like terms: -6 + 7 = 1
4x2 + 5 + -3[1 + 2x2] = 0
4x2 + 5 + [1 * -3 + 2x2 * -3] = 0
4x2 + 5 + [-3 + -6x2] = 0

Reorder the terms:
5 + -3 + 4x2 + -6x2 = 0

Combine like terms: 5 + -3 = 2
2 + 4x2 + -6x2 = 0

Combine like terms: 4x2 + -6x2 = -2x2
2 + -2x2 = 0

Solving
2 + -2x2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -2x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2x2 = 0 + -2
-2x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2x2 = -2

Divide each side by '-2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}