0=4x^2+4x-15

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Solution for 0=4x^2+4x-15 equation: 


Simplifying
0 = 4x2 + 4x + -15

Reorder the terms:
0 = -15 + 4x + 4x2

Solving
0 = -15 + 4x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -4x + -4x2 = -15 + 4x + 4x2 + 15 + -4x + -4x2

Reorder the terms:
15 + -4x + -4x2 = -15 + 15 + 4x + -4x + 4x2 + -4x2

Combine like terms: -15 + 15 = 0
15 + -4x + -4x2 = 0 + 4x + -4x + 4x2 + -4x2
15 + -4x + -4x2 = 4x + -4x + 4x2 + -4x2

Combine like terms: 4x + -4x = 0
15 + -4x + -4x2 = 0 + 4x2 + -4x2
15 + -4x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
15 + -4x + -4x2 = 0

Factor a trinomial.
(3 + -2x)(5 + 2x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
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
Solution
x = {1.5, -2.5}

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