-2=-4x^2+12x+14

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Solution for -2=-4x^2+12x+14 equation: 


Simplifying
-2 = -4x2 + 12x + 14

Reorder the terms:
-2 = 14 + 12x + -4x2

Solving
-2 = 14 + 12x + -4x2

Solving for variable 'x'.

Combine like terms: -2 + -14 = -16
-16 + -12x + 4x2 = 14 + 12x + -4x2 + -14 + -12x + 4x2

Reorder the terms:
-16 + -12x + 4x2 = 14 + -14 + 12x + -12x + -4x2 + 4x2

Combine like terms: 14 + -14 = 0
-16 + -12x + 4x2 = 0 + 12x + -12x + -4x2 + 4x2
-16 + -12x + 4x2 = 12x + -12x + -4x2 + 4x2

Combine like terms: 12x + -12x = 0
-16 + -12x + 4x2 = 0 + -4x2 + 4x2
-16 + -12x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-16 + -12x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + -3x + x2) = 0

Factor a trinomial.
4((-1 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1, 4}

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