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Simplifying 11x(7x + -4)(55 + 11x) = 0 Reorder the terms: 11x(-4 + 7x)(55 + 11x) = 0 Multiply (-4 + 7x) * (55 + 11x) 11x(-4(55 + 11x) + 7x * (55 + 11x)) = 0 11x((55 * -4 + 11x * -4) + 7x * (55 + 11x)) = 0 11x((-220 + -44x) + 7x * (55 + 11x)) = 0 11x(-220 + -44x + (55 * 7x + 11x * 7x)) = 0 11x(-220 + -44x + (385x + 77x2)) = 0 Combine like terms: -44x + 385x = 341x 11x(-220 + 341x + 77x2) = 0 (-220 * 11x + 341x * 11x + 77x2 * 11x) = 0 (-2420x + 3751x2 + 847x3) = 0 Solving -2420x + 3751x2 + 847x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '121x'. 121x(-20 + 31x + 7x2) = 0 Factor a trinomial. 121x((-5 + -1x)(4 + -7x)) = 0 Ignore the factor 121.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 = 0Subproblem 2
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 3
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {0, -5, 0.5714285714}
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