9x^2+7x-5=3-7x

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Solution for 9x^2+7x-5=3-7x equation: 


Simplifying
9x2 + 7x + -5 = 3 + -7x

Reorder the terms:
-5 + 7x + 9x2 = 3 + -7x

Solving
-5 + 7x + 9x2 = 3 + -7x

Solving for variable 'x'.

Reorder the terms:
-5 + -3 + 7x + 7x + 9x2 = 3 + -7x + -3 + 7x

Combine like terms: -5 + -3 = -8
-8 + 7x + 7x + 9x2 = 3 + -7x + -3 + 7x

Combine like terms: 7x + 7x = 14x
-8 + 14x + 9x2 = 3 + -7x + -3 + 7x

Reorder the terms:
-8 + 14x + 9x2 = 3 + -3 + -7x + 7x

Combine like terms: 3 + -3 = 0
-8 + 14x + 9x2 = 0 + -7x + 7x
-8 + 14x + 9x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 14x + 9x2 = 0

Factor a trinomial.
(-2 + -1x)(4 + -9x) = 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 '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 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 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-2, 0.4444444444}

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