-4x^2-[3x-(18x^2+4x)]-[8+(-10x-8)]=0

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Solution for -4x^2-[3x-(18x^2+4x)]-[8+(-10x-8)]=0 equation: 


Simplifying
-4x2 + -1[3x + -1(18x2 + 4x)] + -1[8 + (-10x + -8)] = 0

Reorder the terms:
-4x2 + -1[3x + -1(4x + 18x2)] + -1[8 + (-10x + -8)] = 0
-4x2 + -1[3x + (4x * -1 + 18x2 * -1)] + -1[8 + (-10x + -8)] = 0
-4x2 + -1[3x + (-4x + -18x2)] + -1[8 + (-10x + -8)] = 0

Combine like terms: 3x + -4x = -1x
-4x2 + -1[-1x + -18x2] + -1[8 + (-10x + -8)] = 0
-4x2 + [-1x * -1 + -18x2 * -1] + -1[8 + (-10x + -8)] = 0
-4x2 + [1x + 18x2] + -1[8 + (-10x + -8)] = 0

Reorder the terms:
-4x2 + 1x + 18x2 + -1[8 + (-8 + -10x)] = 0

Remove parenthesis around (-8 + -10x)
-4x2 + 1x + 18x2 + -1[8 + -8 + -10x] = 0

Combine like terms: 8 + -8 = 0
-4x2 + 1x + 18x2 + -1[0 + -10x] = 0
-4x2 + 1x + 18x2 + -1[-10x] = 0

Remove brackets around [-10x]
-4x2 + 1x + 18x2 + -1 * -10x = 0

Multiply -1 * -10
-4x2 + 1x + 18x2 + 10x = 0

Reorder the terms:
1x + 10x + -4x2 + 18x2 = 0

Combine like terms: 1x + 10x = 11x
11x + -4x2 + 18x2 = 0

Combine like terms: -4x2 + 18x2 = 14x2
11x + 14x2 = 0

Solving
11x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 14x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 14x)' equal to zero and attempt to solve:

Simplifying
11 + 14x = 0

Solving
11 + 14x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 14x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 14x = 0 + -11
14x = 0 + -11

Combine like terms: 0 + -11 = -11
14x = -11

Divide each side by '14'.
x = -0.7857142857

Simplifying
x = -0.7857142857
Solution
x = {0, -0.7857142857}

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