x(11-2x)(19-2x)=

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Solution for x(11-2x)(19-2x)= equation:


Simplifying
x(11 + -2x)(19 + -2x) = 0

Multiply (11 + -2x) * (19 + -2x)
x(11(19 + -2x) + -2x * (19 + -2x)) = 0
x((19 * 11 + -2x * 11) + -2x * (19 + -2x)) = 0
x((209 + -22x) + -2x * (19 + -2x)) = 0
x(209 + -22x + (19 * -2x + -2x * -2x)) = 0
x(209 + -22x + (-38x + 4x2)) = 0

Combine like terms: -22x + -38x = -60x
x(209 + -60x + 4x2) = 0
(209 * x + -60x * x + 4x2 * x) = 0
(209x + -60x2 + 4x3) = 0

Solving
209x + -60x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(209 + -60x + 4x2) = 0

Factor a trinomial.
x((11 + -2x)(19 + -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 '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5

Subproblem 3

Set the factor '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5

Solution

x = {0, 5.5, 9.5}

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