84x^2+168x=90-13x

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Solution for 84x^2+168x=90-13x equation: 


Simplifying
84x2 + 168x = 90 + -13x

Reorder the terms:
168x + 84x2 = 90 + -13x

Solving
168x + 84x2 = 90 + -13x

Solving for variable 'x'.

Reorder the terms:
-90 + 168x + 13x + 84x2 = 90 + -13x + -90 + 13x

Combine like terms: 168x + 13x = 181x
-90 + 181x + 84x2 = 90 + -13x + -90 + 13x

Reorder the terms:
-90 + 181x + 84x2 = 90 + -90 + -13x + 13x

Combine like terms: 90 + -90 = 0
-90 + 181x + 84x2 = 0 + -13x + 13x
-90 + 181x + 84x2 = -13x + 13x

Combine like terms: -13x + 13x = 0
-90 + 181x + 84x2 = 0

Factor a trinomial.
(-18 + -7x)(5 + -12x) = 0


Subproblem 1
Set the factor '(-18 + -7x)' equal to zero and attempt to solve:

Simplifying
-18 + -7x = 0

Solving
-18 + -7x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -7x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -7x = 0 + 18
-7x = 0 + 18

Combine like terms: 0 + 18 = 18
-7x = 18

Divide each side by '-7'.
x = -2.571428571

Simplifying
x = -2.571428571

Subproblem 2
Set the factor '(5 + -12x)' equal to zero and attempt to solve:

Simplifying
5 + -12x = 0

Solving
5 + -12x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -12x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = 0 + -5
-12x = 0 + -5

Combine like terms: 0 + -5 = -5
-12x = -5

Divide each side by '-12'.
x = 0.4166666667

Simplifying
x = 0.4166666667
Solution
x = {-2.571428571, 0.4166666667}

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