(41-2x)(24-2x)x=

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Solution for (41-2x)(24-2x)x= equation:


Simplifying
(41 + -2x)(24 + -2x) * x = 0

Reorder the terms for easier multiplication:
x(41 + -2x)(24 + -2x) = 0

Multiply (41 + -2x) * (24 + -2x)
x(41(24 + -2x) + -2x * (24 + -2x)) = 0
x((24 * 41 + -2x * 41) + -2x * (24 + -2x)) = 0
x((984 + -82x) + -2x * (24 + -2x)) = 0
x(984 + -82x + (24 * -2x + -2x * -2x)) = 0
x(984 + -82x + (-48x + 4x2)) = 0

Combine like terms: -82x + -48x = -130x
x(984 + -130x + 4x2) = 0
(984 * x + -130x * x + 4x2 * x) = 0
(984x + -130x2 + 4x3) = 0

Solving
984x + -130x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(492 + -65x + 2x2) = 0

Factor a trinomial.
2x((12 + -1x)(41 + -2x)) = 0

Ignore the factor 2.

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 '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Subproblem 3

Set the factor '(41 + -2x)' equal to zero and attempt to solve: Simplifying 41 + -2x = 0 Solving 41 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -2x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -2x = 0 + -41 -2x = 0 + -41 Combine like terms: 0 + -41 = -41 -2x = -41 Divide each side by '-2'. x = 20.5 Simplifying x = 20.5

Solution

x = {0, 12, 20.5}

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