56x^2+115x+71=-5x+7

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Solution for 56x^2+115x+71=-5x+7 equation: 


Simplifying
56x2 + 115x + 71 = -5x + 7

Reorder the terms:
71 + 115x + 56x2 = -5x + 7

Reorder the terms:
71 + 115x + 56x2 = 7 + -5x

Solving
71 + 115x + 56x2 = 7 + -5x

Solving for variable 'x'.

Reorder the terms:
71 + -7 + 115x + 5x + 56x2 = 7 + -5x + -7 + 5x

Combine like terms: 71 + -7 = 64
64 + 115x + 5x + 56x2 = 7 + -5x + -7 + 5x

Combine like terms: 115x + 5x = 120x
64 + 120x + 56x2 = 7 + -5x + -7 + 5x

Reorder the terms:
64 + 120x + 56x2 = 7 + -7 + -5x + 5x

Combine like terms: 7 + -7 = 0
64 + 120x + 56x2 = 0 + -5x + 5x
64 + 120x + 56x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
64 + 120x + 56x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(8 + 15x + 7x2) = 0

Factor a trinomial.
8((8 + 7x)(1 + x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(8 + 7x)' equal to zero and attempt to solve:

Simplifying
8 + 7x = 0

Solving
8 + 7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-1.142857143, -1}

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