x(13-2x)(23-2x)=0

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Solution for x(13-2x)(23-2x)=0 equation:


Simplifying
x(13 + -2x)(23 + -2x) = 0

Multiply (13 + -2x) * (23 + -2x)
x(13(23 + -2x) + -2x * (23 + -2x)) = 0
x((23 * 13 + -2x * 13) + -2x * (23 + -2x)) = 0
x((299 + -26x) + -2x * (23 + -2x)) = 0
x(299 + -26x + (23 * -2x + -2x * -2x)) = 0
x(299 + -26x + (-46x + 4x2)) = 0

Combine like terms: -26x + -46x = -72x
x(299 + -72x + 4x2) = 0
(299 * x + -72x * x + 4x2 * x) = 0
(299x + -72x2 + 4x3) = 0

Solving
299x + -72x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(299 + -72x + 4x2) = 0

Factor a trinomial.
x((13 + -2x)(23 + -2x)) = 0

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 '(13 + -2x)' equal to zero and attempt to solve: Simplifying 13 + -2x = 0 Solving 13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 0 + -13 -2x = 0 + -13 Combine like terms: 0 + -13 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5

Subproblem 3

Set the factor '(23 + -2x)' equal to zero and attempt to solve: Simplifying 23 + -2x = 0 Solving 23 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 0 + -23 -2x = 0 + -23 Combine like terms: 0 + -23 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5

Solution

x = {0, 6.5, 11.5}

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