7x^2+6x-5=7-2x

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Solution for 7x^2+6x-5=7-2x equation: 


Simplifying
7x2 + 6x + -5 = 7 + -2x

Reorder the terms:
-5 + 6x + 7x2 = 7 + -2x

Solving
-5 + 6x + 7x2 = 7 + -2x

Solving for variable 'x'.

Reorder the terms:
-5 + -7 + 6x + 2x + 7x2 = 7 + -2x + -7 + 2x

Combine like terms: -5 + -7 = -12
-12 + 6x + 2x + 7x2 = 7 + -2x + -7 + 2x

Combine like terms: 6x + 2x = 8x
-12 + 8x + 7x2 = 7 + -2x + -7 + 2x

Reorder the terms:
-12 + 8x + 7x2 = 7 + -7 + -2x + 2x

Combine like terms: 7 + -7 = 0
-12 + 8x + 7x2 = 0 + -2x + 2x
-12 + 8x + 7x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 8x + 7x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-2, 0.8571428571}

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