4(x-1)(x-15)=0

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Solution for 4(x-1)(x-15)=0 equation:


Simplifying
4(x + -1)(x + -15) = 0

Reorder the terms:
4(-1 + x)(x + -15) = 0

Reorder the terms:
4(-1 + x)(-15 + x) = 0

Multiply (-1 + x) * (-15 + x)
4(-1(-15 + x) + x(-15 + x)) = 0
4((-15 * -1 + x * -1) + x(-15 + x)) = 0
4((15 + -1x) + x(-15 + x)) = 0
4(15 + -1x + (-15 * x + x * x)) = 0
4(15 + -1x + (-15x + x2)) = 0

Combine like terms: -1x + -15x = -16x
4(15 + -16x + x2) = 0
(15 * 4 + -16x * 4 + x2 * 4) = 0
(60 + -64x + 4x2) = 0

Solving
60 + -64x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -16x + x2) = 0

Factor a trinomial.
4((1 + -1x)(15 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

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

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

Solution

x = {1, 15}

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