(x-3)(x-3)4x(x-5)=0

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Solution for (x-3)(x-3)4x(x-5)=0 equation:


Simplifying
(x + -3)(x + -3) * 4x(x + -5) = 0

Reorder the terms:
(-3 + x)(x + -3) * 4x(x + -5) = 0

Reorder the terms:
(-3 + x)(-3 + x) * 4x(x + -5) = 0

Reorder the terms:
(-3 + x)(-3 + x) * 4x(-5 + x) = 0

Reorder the terms for easier multiplication:
4x(-3 + x)(-3 + x)(-5 + x) = 0

Multiply (-3 + x) * (-3 + x)
4x(-3(-3 + x) + x(-3 + x))(-5 + x) = 0
4x((-3 * -3 + x * -3) + x(-3 + x))(-5 + x) = 0
4x((9 + -3x) + x(-3 + x))(-5 + x) = 0
4x(9 + -3x + (-3 * x + x * x))(-5 + x) = 0
4x(9 + -3x + (-3x + x2))(-5 + x) = 0

Combine like terms: -3x + -3x = -6x
4x(9 + -6x + x2)(-5 + x) = 0

Multiply (9 + -6x + x2) * (-5 + x)
4x(9(-5 + x) + -6x * (-5 + x) + x2(-5 + x)) = 0
4x((-5 * 9 + x * 9) + -6x * (-5 + x) + x2(-5 + x)) = 0
4x((-45 + 9x) + -6x * (-5 + x) + x2(-5 + x)) = 0
4x(-45 + 9x + (-5 * -6x + x * -6x) + x2(-5 + x)) = 0
4x(-45 + 9x + (30x + -6x2) + x2(-5 + x)) = 0
4x(-45 + 9x + 30x + -6x2 + (-5 * x2 + x * x2)) = 0
4x(-45 + 9x + 30x + -6x2 + (-5x2 + x3)) = 0

Combine like terms: 9x + 30x = 39x
4x(-45 + 39x + -6x2 + -5x2 + x3) = 0

Combine like terms: -6x2 + -5x2 = -11x2
4x(-45 + 39x + -11x2 + x3) = 0
(-45 * 4x + 39x * 4x + -11x2 * 4x + x3 * 4x) = 0
(-180x + 156x2 + -44x3 + 4x4) = 0

Solving
-180x + 156x2 + -44x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-45 + 39x + -11x2 + x3) = 0

Ignore the factor 4.

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 '(-45 + 39x + -11x2 + x3)' equal to zero and attempt to solve: Simplifying -45 + 39x + -11x2 + x3 = 0 Solving -45 + 39x + -11x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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