5(9x^2-7)-[4(2x^2-5)+4]=

Solution for 5(9x^2-7)-[4(2x^2-5)+4]= equation:

Simplifying
5(9x2 + -7) + -1[4(2x2 + -5) + 4] = 0

Reorder the terms:
5(-7 + 9x2) + -1[4(2x2 + -5) + 4] = 0
(-7 * 5 + 9x2 * 5) + -1[4(2x2 + -5) + 4] = 0
(-35 + 45x2) + -1[4(2x2 + -5) + 4] = 0

Reorder the terms:
-35 + 45x2 + -1[4(-5 + 2x2) + 4] = 0
-35 + 45x2 + -1[(-5 * 4 + 2x2 * 4) + 4] = 0
-35 + 45x2 + -1[(-20 + 8x2) + 4] = 0

Reorder the terms:
-35 + 45x2 + -1[-20 + 4 + 8x2] = 0

Combine like terms: -20 + 4 = -16
-35 + 45x2 + -1[-16 + 8x2] = 0
-35 + 45x2 + [-16 * -1 + 8x2 * -1] = 0
-35 + 45x2 + [16 + -8x2] = 0

Reorder the terms:
-35 + 16 + 45x2 + -8x2 = 0

Combine like terms: -35 + 16 = -19
-19 + 45x2 + -8x2 = 0

Combine like terms: 45x2 + -8x2 = 37x2
-19 + 37x2 = 0

Solving
-19 + 37x2 = 0

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 37x2 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 37x2 = 0 + 19
37x2 = 0 + 19

Combine like terms: 0 + 19 = 19
37x2 = 19

Divide each side by '37'.
x2 = 0.5135135135

Simplifying
x2 = 0.5135135135

Take the square root of each side:
x = {-0.716598572, 0.716598572}