15x^2=-19x

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Solution for 15x^2=-19x equation: 


Simplifying
15x2 = -19x

Solving
15x2 = -19x

Solving for variable 'x'.

Reorder the terms:
19x + 15x2 = -19x + 19x

Combine like terms: -19x + 19x = 0
19x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + 15x) = 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 '(19 + 15x)' equal to zero and attempt to solve:

Simplifying
19 + 15x = 0

Solving
19 + 15x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 15x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 15x = 0 + -19
15x = 0 + -19

Combine like terms: 0 + -19 = -19
15x = -19

Divide each side by '15'.
x = -1.266666667

Simplifying
x = -1.266666667
Solution
x = {0, -1.266666667}

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