(x+10)(5x-4)=72

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Solution for (x+10)(5x-4)=72 equation: 


Simplifying
(x + 10)(5x + -4) = 72

Reorder the terms:
(10 + x)(5x + -4) = 72

Reorder the terms:
(10 + x)(-4 + 5x) = 72

Multiply (10 + x) * (-4 + 5x)
(10(-4 + 5x) + x(-4 + 5x)) = 72
((-4 * 10 + 5x * 10) + x(-4 + 5x)) = 72
((-40 + 50x) + x(-4 + 5x)) = 72
(-40 + 50x + (-4 * x + 5x * x)) = 72
(-40 + 50x + (-4x + 5x2)) = 72

Combine like terms: 50x + -4x = 46x
(-40 + 46x + 5x2) = 72

Solving
-40 + 46x + 5x2 = 72

Solving for variable 'x'.

Reorder the terms:
-40 + -72 + 46x + 5x2 = 72 + -72

Combine like terms: -40 + -72 = -112
-112 + 46x + 5x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-112 + 46x + 5x2 = 0

Factor a trinomial.
(-56 + -5x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-56 + -5x)' equal to zero and attempt to solve:

Simplifying
-56 + -5x = 0

Solving
-56 + -5x = 0

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

Add '56' to each side of the equation.
-56 + 56 + -5x = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -5x = 0 + 56
-5x = 0 + 56

Combine like terms: 0 + 56 = 56
-5x = 56

Divide each side by '-5'.
x = -11.2

Simplifying
x = -11.2

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-11.2, 2}

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