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Simplifying x(28 + -1x)(35 + -2x) = 0 Multiply (28 + -1x) * (35 + -2x) x(28(35 + -2x) + -1x * (35 + -2x)) = 0 x((35 * 28 + -2x * 28) + -1x * (35 + -2x)) = 0 x((980 + -56x) + -1x * (35 + -2x)) = 0 x(980 + -56x + (35 * -1x + -2x * -1x)) = 0 x(980 + -56x + (-35x + 2x2)) = 0 Combine like terms: -56x + -35x = -91x x(980 + -91x + 2x2) = 0 (980 * x + -91x * x + 2x2 * x) = 0 (980x + -91x2 + 2x3) = 0 Solving 980x + -91x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(980 + -91x + 2x2) = 0 Factor a trinomial. x((35 + -2x)(28 + -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 '(35 + -2x)' equal to zero and attempt to solve: Simplifying 35 + -2x = 0 Solving 35 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -2x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 0 + -35 -2x = 0 + -35 Combine like terms: 0 + -35 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5Subproblem 3
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {0, 17.5, 28}
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