5x^2+4x=12x+15x

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Solution for 5x^2+4x=12x+15x equation: 


Simplifying
5x2 + 4x = 12x + 15x

Reorder the terms:
4x + 5x2 = 12x + 15x

Combine like terms: 12x + 15x = 27x
4x + 5x2 = 27x

Solving
4x + 5x2 = 27x

Solving for variable 'x'.

Reorder the terms:
4x + -27x + 5x2 = 27x + -27x

Combine like terms: 4x + -27x = -23x
-23x + 5x2 = 27x + -27x

Combine like terms: 27x + -27x = 0
-23x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-23 + 5x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-23 + 5x)' equal to zero and attempt to solve:

Simplifying
-23 + 5x = 0

Solving
-23 + 5x = 0

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

Add '23' to each side of the equation.
-23 + 23 + 5x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 0 + 23
5x = 0 + 23

Combine like terms: 0 + 23 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6
Solution
x = {0, 4.6}

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