4(x^2-7)-9=27

Solution for 4(x^2-7)-9=27 equation:

Simplifying
4(x2 + -7) + -9 = 27

Reorder the terms:
4(-7 + x2) + -9 = 27
(-7 * 4 + x2 * 4) + -9 = 27
(-28 + 4x2) + -9 = 27

Reorder the terms:
-28 + -9 + 4x2 = 27

Combine like terms: -28 + -9 = -37
-37 + 4x2 = 27

Solving
-37 + 4x2 = 27

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 4x2 = 27 + 37

Combine like terms: -37 + 37 = 0
0 + 4x2 = 27 + 37
4x2 = 27 + 37

Combine like terms: 27 + 37 = 64
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}