-32+3x^2-30-36-4x-20x=-119

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Solution for -32+3x^2-30-36-4x-20x=-119 equation: 


Simplifying
-32 + 3x2 + -30 + -36 + -4x + -20x = -119

Reorder the terms:
-32 + -30 + -36 + -4x + -20x + 3x2 = -119

Combine like terms: -32 + -30 = -62
-62 + -36 + -4x + -20x + 3x2 = -119

Combine like terms: -62 + -36 = -98
-98 + -4x + -20x + 3x2 = -119

Combine like terms: -4x + -20x = -24x
-98 + -24x + 3x2 = -119

Solving
-98 + -24x + 3x2 = -119

Solving for variable 'x'.

Reorder the terms:
-98 + 119 + -24x + 3x2 = -119 + 119

Combine like terms: -98 + 119 = 21
21 + -24x + 3x2 = -119 + 119

Combine like terms: -119 + 119 = 0
21 + -24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + -8x + x2) = 0

Factor a trinomial.
3((1 + -1x)(7 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {1, 7}

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