60x^2+71x-57=3+7x

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Solution for 60x^2+71x-57=3+7x equation: 


Simplifying
60x2 + 71x + -57 = 3 + 7x

Reorder the terms:
-57 + 71x + 60x2 = 3 + 7x

Solving
-57 + 71x + 60x2 = 3 + 7x

Solving for variable 'x'.

Reorder the terms:
-57 + -3 + 71x + -7x + 60x2 = 3 + 7x + -3 + -7x

Combine like terms: -57 + -3 = -60
-60 + 71x + -7x + 60x2 = 3 + 7x + -3 + -7x

Combine like terms: 71x + -7x = 64x
-60 + 64x + 60x2 = 3 + 7x + -3 + -7x

Reorder the terms:
-60 + 64x + 60x2 = 3 + -3 + 7x + -7x

Combine like terms: 3 + -3 = 0
-60 + 64x + 60x2 = 0 + 7x + -7x
-60 + 64x + 60x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-60 + 64x + 60x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 16x + 15x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-1.666666667, 0.6}

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