21x^2-36x+8=-7+8x

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Solution for 21x^2-36x+8=-7+8x equation: 


Simplifying
21x2 + -36x + 8 = -7 + 8x

Reorder the terms:
8 + -36x + 21x2 = -7 + 8x

Solving
8 + -36x + 21x2 = -7 + 8x

Solving for variable 'x'.

Reorder the terms:
8 + 7 + -36x + -8x + 21x2 = -7 + 8x + 7 + -8x

Combine like terms: 8 + 7 = 15
15 + -36x + -8x + 21x2 = -7 + 8x + 7 + -8x

Combine like terms: -36x + -8x = -44x
15 + -44x + 21x2 = -7 + 8x + 7 + -8x

Reorder the terms:
15 + -44x + 21x2 = -7 + 7 + 8x + -8x

Combine like terms: -7 + 7 = 0
15 + -44x + 21x2 = 0 + 8x + -8x
15 + -44x + 21x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -44x + 21x2 = 0

Factor a trinomial.
(3 + -7x)(5 + -3x) = 0


Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0.4285714286, 1.666666667}

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