7x^2+13x-16=8-9x

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Solution for 7x^2+13x-16=8-9x equation: 


Simplifying
7x2 + 13x + -16 = 8 + -9x

Reorder the terms:
-16 + 13x + 7x2 = 8 + -9x

Solving
-16 + 13x + 7x2 = 8 + -9x

Solving for variable 'x'.

Reorder the terms:
-16 + -8 + 13x + 9x + 7x2 = 8 + -9x + -8 + 9x

Combine like terms: -16 + -8 = -24
-24 + 13x + 9x + 7x2 = 8 + -9x + -8 + 9x

Combine like terms: 13x + 9x = 22x
-24 + 22x + 7x2 = 8 + -9x + -8 + 9x

Reorder the terms:
-24 + 22x + 7x2 = 8 + -8 + -9x + 9x

Combine like terms: 8 + -8 = 0
-24 + 22x + 7x2 = 0 + -9x + 9x
-24 + 22x + 7x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-24 + 22x + 7x2 = 0

Factor a trinomial.
(-4 + -1x)(6 + -7x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-4, 0.8571428571}

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