7x^2+13x-4=8-4x

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Solution for 7x^2+13x-4=8-4x equation: 


Simplifying
7x2 + 13x + -4 = 8 + -4x

Reorder the terms:
-4 + 13x + 7x2 = 8 + -4x

Solving
-4 + 13x + 7x2 = 8 + -4x

Solving for variable 'x'.

Reorder the terms:
-4 + -8 + 13x + 4x + 7x2 = 8 + -4x + -8 + 4x

Combine like terms: -4 + -8 = -12
-12 + 13x + 4x + 7x2 = 8 + -4x + -8 + 4x

Combine like terms: 13x + 4x = 17x
-12 + 17x + 7x2 = 8 + -4x + -8 + 4x

Reorder the terms:
-12 + 17x + 7x2 = 8 + -8 + -4x + 4x

Combine like terms: 8 + -8 = 0
-12 + 17x + 7x2 = 0 + -4x + 4x
-12 + 17x + 7x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-12 + 17x + 7x2 = 0

Factor a trinomial.
(-3 + -1x)(4 + -7x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {-3, 0.5714285714}

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