9x(x-15)(x-15)=0

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Solution for 9x(x-15)(x-15)=0 equation:


Simplifying
9x(x + -15)(x + -15) = 0

Reorder the terms:
9x(-15 + x)(x + -15) = 0

Reorder the terms:
9x(-15 + x)(-15 + x) = 0

Multiply (-15 + x) * (-15 + x)
9x(-15(-15 + x) + x(-15 + x)) = 0
9x((-15 * -15 + x * -15) + x(-15 + x)) = 0
9x((225 + -15x) + x(-15 + x)) = 0
9x(225 + -15x + (-15 * x + x * x)) = 0
9x(225 + -15x + (-15x + x2)) = 0

Combine like terms: -15x + -15x = -30x
9x(225 + -30x + x2) = 0
(225 * 9x + -30x * 9x + x2 * 9x) = 0
(2025x + -270x2 + 9x3) = 0

Solving
2025x + -270x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(225 + -30x + x2) = 0

Factor a trinomial.
9x((15 + -1x)(15 + -1x)) = 0

Ignore the factor 9.

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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Subproblem 3

Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Solution

x = {0, 15, 15}

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