7x^2-15x=-16+7x

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Solution for 7x^2-15x=-16+7x equation: 


Simplifying
7x2 + -15x = -16 + 7x

Reorder the terms:
-15x + 7x2 = -16 + 7x

Solving
-15x + 7x2 = -16 + 7x

Solving for variable 'x'.

Reorder the terms:
16 + -15x + -7x + 7x2 = -16 + 7x + 16 + -7x

Combine like terms: -15x + -7x = -22x
16 + -22x + 7x2 = -16 + 7x + 16 + -7x

Reorder the terms:
16 + -22x + 7x2 = -16 + 16 + 7x + -7x

Combine like terms: -16 + 16 = 0
16 + -22x + 7x2 = 0 + 7x + -7x
16 + -22x + 7x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -22x + 7x2 = 0

Factor a trinomial.
(8 + -7x)(2 + -1x) = 0


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 '(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
Solution
x = {1.142857143, 2}

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