15x^2+60=-65x

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Solution for 15x^2+60=-65x equation:


Simplifying
15x2 + 60 = -65x

Reorder the terms:
60 + 15x2 = -65x

Solving
60 + 15x2 = -65x

Solving for variable 'x'.

Reorder the terms:
60 + 65x + 15x2 = -65x + 65x

Combine like terms: -65x + 65x = 0
60 + 65x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(12 + 13x + 3x2) = 0

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

Ignore the factor 5.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

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 = {-3, -1.333333333}

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