7x^2+23x=2x^2-4x+56

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Solution for 7x^2+23x=2x^2-4x+56 equation: 


Simplifying
7x2 + 23x = 2x2 + -4x + 56

Reorder the terms:
23x + 7x2 = 2x2 + -4x + 56

Reorder the terms:
23x + 7x2 = 56 + -4x + 2x2

Solving
23x + 7x2 = 56 + -4x + 2x2

Solving for variable 'x'.

Reorder the terms:
-56 + 23x + 4x + 7x2 + -2x2 = 56 + -4x + 2x2 + -56 + 4x + -2x2

Combine like terms: 23x + 4x = 27x
-56 + 27x + 7x2 + -2x2 = 56 + -4x + 2x2 + -56 + 4x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-56 + 27x + 5x2 = 56 + -4x + 2x2 + -56 + 4x + -2x2

Reorder the terms:
-56 + 27x + 5x2 = 56 + -56 + -4x + 4x + 2x2 + -2x2

Combine like terms: 56 + -56 = 0
-56 + 27x + 5x2 = 0 + -4x + 4x + 2x2 + -2x2
-56 + 27x + 5x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
-56 + 27x + 5x2 = 0 + 2x2 + -2x2
-56 + 27x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-56 + 27x + 5x2 = 0

Factor a trinomial.
(-7 + -1x)(8 + -5x) = 0


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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-7, 1.6}

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