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Simplifying (-1x3 + 55x2) + -1(35x2 + 99x) = 0 Reorder the terms: (55x2 + -1x3) + -1(35x2 + 99x) = 0 Remove parenthesis around (55x2 + -1x3) 55x2 + -1x3 + -1(35x2 + 99x) = 0 Reorder the terms: 55x2 + -1x3 + -1(99x + 35x2) = 0 55x2 + -1x3 + (99x * -1 + 35x2 * -1) = 0 55x2 + -1x3 + (-99x + -35x2) = 0 Reorder the terms: -99x + 55x2 + -35x2 + -1x3 = 0 Combine like terms: 55x2 + -35x2 = 20x2 -99x + 20x2 + -1x3 = 0 Solving -99x + 20x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-99 + 20x + -1x2) = 0 Factor a trinomial. x((-11 + x)(9 + -1x)) = 0Subproblem 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 '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 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 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, 11, 9}
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