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

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


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

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

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

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

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

Solving
72 = -40 + 46x + 5x2

Solving for variable 'x'.

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

Reorder the terms:
112 + -46x + -5x2 = -40 + 40 + 46x + -46x + 5x2 + -5x2

Combine like terms: -40 + 40 = 0
112 + -46x + -5x2 = 0 + 46x + -46x + 5x2 + -5x2
112 + -46x + -5x2 = 46x + -46x + 5x2 + -5x2

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

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

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {2, -11.2}

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