x(15x+26)=80

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Solution for x(15x+26)=80 equation: 


Simplifying
x(15x + 26) = 80

Reorder the terms:
x(26 + 15x) = 80
(26 * x + 15x * x) = 80
(26x + 15x2) = 80

Solving
26x + 15x2 = 80

Solving for variable 'x'.

Reorder the terms:
-80 + 26x + 15x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 26x + 15x2 = 0

Factor a trinomial.
(-10 + -3x)(8 + -5x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-3.333333333, 1.6}

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