5x+76=9x^2+36x+36

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Solution for 5x+76=9x^2+36x+36 equation:


Simplifying
5x + 76 = 9x2 + 36x + 36

Reorder the terms:
76 + 5x = 9x2 + 36x + 36

Reorder the terms:
76 + 5x = 36 + 36x + 9x2

Solving
76 + 5x = 36 + 36x + 9x2

Solving for variable 'x'.

Reorder the terms:
76 + -36 + 5x + -36x + -9x2 = 36 + 36x + 9x2 + -36 + -36x + -9x2

Combine like terms: 76 + -36 = 40
40 + 5x + -36x + -9x2 = 36 + 36x + 9x2 + -36 + -36x + -9x2

Combine like terms: 5x + -36x = -31x
40 + -31x + -9x2 = 36 + 36x + 9x2 + -36 + -36x + -9x2

Reorder the terms:
40 + -31x + -9x2 = 36 + -36 + 36x + -36x + 9x2 + -9x2

Combine like terms: 36 + -36 = 0
40 + -31x + -9x2 = 0 + 36x + -36x + 9x2 + -9x2
40 + -31x + -9x2 = 36x + -36x + 9x2 + -9x2

Combine like terms: 36x + -36x = 0
40 + -31x + -9x2 = 0 + 9x2 + -9x2
40 + -31x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
40 + -31x + -9x2 = 0

Factor a trinomial.
(1 + -1x)(40 + 9x) = 0


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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(40 + 9x)' equal to zero and attempt to solve:

Simplifying
40 + 9x = 0

Solving
40 + 9x = 0

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

Add '-40' to each side of the equation.
40 + -40 + 9x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 9x = 0 + -40
9x = 0 + -40

Combine like terms: 0 + -40 = -40
9x = -40

Divide each side by '9'.
x = -4.444444444

Simplifying
x = -4.444444444
Solution
x = {1, -4.444444444}

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