8x+72+5x=4x^2+36x

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Solution for 8x+72+5x=4x^2+36x equation:


Simplifying
8x + 72 + 5x = 4x2 + 36x

Reorder the terms:
72 + 8x + 5x = 4x2 + 36x

Combine like terms: 8x + 5x = 13x
72 + 13x = 4x2 + 36x

Reorder the terms:
72 + 13x = 36x + 4x2

Solving
72 + 13x = 36x + 4x2

Solving for variable 'x'.

Combine like terms: 13x + -36x = -23x
72 + -23x + -4x2 = 36x + 4x2 + -36x + -4x2

Reorder the terms:
72 + -23x + -4x2 = 36x + -36x + 4x2 + -4x2

Combine like terms: 36x + -36x = 0
72 + -23x + -4x2 = 0 + 4x2 + -4x2
72 + -23x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
72 + -23x + -4x2 = 0

Factor a trinomial.
(9 + -4x)(8 + x) = 0

Subproblem 1

Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25

Subproblem 2

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {2.25, -8}

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