7x^2+12x-21=11-8x

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Solution for 7x^2+12x-21=11-8x equation: 


Simplifying
7x2 + 12x + -21 = 11 + -8x

Reorder the terms:
-21 + 12x + 7x2 = 11 + -8x

Solving
-21 + 12x + 7x2 = 11 + -8x

Solving for variable 'x'.

Reorder the terms:
-21 + -11 + 12x + 8x + 7x2 = 11 + -8x + -11 + 8x

Combine like terms: -21 + -11 = -32
-32 + 12x + 8x + 7x2 = 11 + -8x + -11 + 8x

Combine like terms: 12x + 8x = 20x
-32 + 20x + 7x2 = 11 + -8x + -11 + 8x

Reorder the terms:
-32 + 20x + 7x2 = 11 + -11 + -8x + 8x

Combine like terms: 11 + -11 = 0
-32 + 20x + 7x2 = 0 + -8x + 8x
-32 + 20x + 7x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-32 + 20x + 7x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -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 '(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
Solution
x = {-4, 1.142857143}

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