3x(5x-24)=15

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Solution for 3x(5x-24)=15 equation:


Simplifying
3x(5x + -24) = 15

Reorder the terms:
3x(-24 + 5x) = 15
(-24 * 3x + 5x * 3x) = 15
(-72x + 15x2) = 15

Solving
-72x + 15x2 = 15

Solving for variable 'x'.

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

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

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

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-0.2, 5}

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