0=15+26x+8x^2

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Solution for 0=15+26x+8x^2 equation: 


Simplifying
0 = 15 + 26x + 8x2

Solving
0 = 15 + 26x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + -26x + -8x2 = 15 + 26x + 8x2 + -15 + -26x + -8x2

Reorder the terms:
-15 + -26x + -8x2 = 15 + -15 + 26x + -26x + 8x2 + -8x2

Combine like terms: 15 + -15 = 0
-15 + -26x + -8x2 = 0 + 26x + -26x + 8x2 + -8x2
-15 + -26x + -8x2 = 26x + -26x + 8x2 + -8x2

Combine like terms: 26x + -26x = 0
-15 + -26x + -8x2 = 0 + 8x2 + -8x2
-15 + -26x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-15 + -26x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 26x + 8x2) = 0

Factor a trinomial.
-1((5 + 2x)(3 + 4x)) = 0

Ignore the factor -1.

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 '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-2.5, -0.75}

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