152=-16x^2+96x+12

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Solution for 152=-16x^2+96x+12 equation: 


Simplifying
152 = -16x2 + 96x + 12

Reorder the terms:
152 = 12 + 96x + -16x2

Solving
152 = 12 + 96x + -16x2

Solving for variable 'x'.

Combine like terms: 152 + -12 = 140
140 + -96x + 16x2 = 12 + 96x + -16x2 + -12 + -96x + 16x2

Reorder the terms:
140 + -96x + 16x2 = 12 + -12 + 96x + -96x + -16x2 + 16x2

Combine like terms: 12 + -12 = 0
140 + -96x + 16x2 = 0 + 96x + -96x + -16x2 + 16x2
140 + -96x + 16x2 = 96x + -96x + -16x2 + 16x2

Combine like terms: 96x + -96x = 0
140 + -96x + 16x2 = 0 + -16x2 + 16x2
140 + -96x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
140 + -96x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -24x + 4x2) = 0

Factor a trinomial.
4((5 + -2x)(7 + -2x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {2.5, 3.5}

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