-18x^2+5x=-70x-27

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Solution for -18x^2+5x=-70x-27 equation: 


Simplifying
-18x2 + 5x = -70x + -27

Reorder the terms:
5x + -18x2 = -70x + -27

Reorder the terms:
5x + -18x2 = -27 + -70x

Solving
5x + -18x2 = -27 + -70x

Solving for variable 'x'.

Reorder the terms:
27 + 5x + 70x + -18x2 = -27 + -70x + 27 + 70x

Combine like terms: 5x + 70x = 75x
27 + 75x + -18x2 = -27 + -70x + 27 + 70x

Reorder the terms:
27 + 75x + -18x2 = -27 + 27 + -70x + 70x

Combine like terms: -27 + 27 = 0
27 + 75x + -18x2 = 0 + -70x + 70x
27 + 75x + -18x2 = -70x + 70x

Combine like terms: -70x + 70x = 0
27 + 75x + -18x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 25x + -6x2) = 0

Factor a trinomial.
3((9 + -2x)(1 + 3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {4.5, -0.3333333333}

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