15x^2+21x=72

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Solution for 15x^2+21x=72 equation:


Simplifying
15x2 + 21x = 72

Reorder the terms:
21x + 15x2 = 72

Solving
21x + 15x2 = 72

Solving for variable 'x'.

Reorder the terms:
-72 + 21x + 15x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 21x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + 7x + 5x2) = 0

Factor a trinomial.
3((-3 + -1x)(8 + -5x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Solution

x = {-3, 1.6}

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