0=15x^2+39x-18

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Solution for 0=15x^2+39x-18 equation:


Simplifying
0 = 15x2 + 39x + -18

Reorder the terms:
0 = -18 + 39x + 15x2

Solving
0 = -18 + 39x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + -39x + -15x2 = -18 + 39x + 15x2 + 18 + -39x + -15x2

Reorder the terms:
18 + -39x + -15x2 = -18 + 18 + 39x + -39x + 15x2 + -15x2

Combine like terms: -18 + 18 = 0
18 + -39x + -15x2 = 0 + 39x + -39x + 15x2 + -15x2
18 + -39x + -15x2 = 39x + -39x + 15x2 + -15x2

Combine like terms: 39x + -39x = 0
18 + -39x + -15x2 = 0 + 15x2 + -15x2
18 + -39x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
18 + -39x + -15x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -13x + -5x2) = 0

Factor a trinomial.
3((2 + -5x)(3 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Subproblem 2

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

Solution

x = {0.4, -3}

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