63x^2-44x=-5x+60

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Solution for 63x^2-44x=-5x+60 equation: 


Simplifying
63x2 + -44x = -5x + 60

Reorder the terms:
-44x + 63x2 = -5x + 60

Reorder the terms:
-44x + 63x2 = 60 + -5x

Solving
-44x + 63x2 = 60 + -5x

Solving for variable 'x'.

Reorder the terms:
-60 + -44x + 5x + 63x2 = 60 + -5x + -60 + 5x

Combine like terms: -44x + 5x = -39x
-60 + -39x + 63x2 = 60 + -5x + -60 + 5x

Reorder the terms:
-60 + -39x + 63x2 = 60 + -60 + -5x + 5x

Combine like terms: 60 + -60 = 0
-60 + -39x + 63x2 = 0 + -5x + 5x
-60 + -39x + 63x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-60 + -39x + 63x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -13x + 21x2) = 0

Factor a trinomial.
3((-5 + -7x)(4 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve:

Simplifying
-5 + -7x = 0

Solving
-5 + -7x = 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 + -7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 0 + 5
-7x = 0 + 5

Combine like terms: 0 + 5 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-0.7142857143, 1.333333333}

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