35x^2-42-[4(x^2-1)+9]=

Solution for 35x^2-42-[4(x^2-1)+9]= equation:

Simplifying
35x2 + -42 + -1[4(x2 + -1) + 9] = 0

Reorder the terms:
35x2 + -42 + -1[4(-1 + x2) + 9] = 0
35x2 + -42 + -1[(-1 * 4 + x2 * 4) + 9] = 0
35x2 + -42 + -1[(-4 + 4x2) + 9] = 0

Reorder the terms:
35x2 + -42 + -1[-4 + 9 + 4x2] = 0

Combine like terms: -4 + 9 = 5
35x2 + -42 + -1[5 + 4x2] = 0
35x2 + -42 + [5 * -1 + 4x2 * -1] = 0
35x2 + -42 + [-5 + -4x2] = 0

Reorder the terms:
-42 + -5 + 35x2 + -4x2 = 0

Combine like terms: -42 + -5 = -47
-47 + 35x2 + -4x2 = 0

Combine like terms: 35x2 + -4x2 = 31x2
-47 + 31x2 = 0

Solving
-47 + 31x2 = 0

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 31x2 = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 31x2 = 0 + 47
31x2 = 0 + 47

Combine like terms: 0 + 47 = 47
31x2 = 47

Divide each side by '31'.
x2 = 1.516129032

Simplifying
x2 = 1.516129032

Take the square root of each side:
x = {-1.231311915, 1.231311915}