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Simplifying x3 = 2.25x Solving x3 = 2.25x Solving for variable 'x'. Reorder the terms: -2.25x + x3 = 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 -2.25x + x3 = 0.00 Factor out the Greatest Common Factor (GCF), 'x'. x(-2.25 + x2) = 0.00 Factor a difference between two squares. x((1.5 + x)(-1.5 + x)) = 0.00Subproblem 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 '(1.5 + x)' equal to zero and attempt to solve: Simplifying 1.5 + x = 0 Solving 1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 0 + -1.5 x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x = -1.5 Simplifying x = -1.5Subproblem 3
Set the factor '(-1.5 + x)' equal to zero and attempt to solve: Simplifying -1.5 + x = 0 Solving -1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 0 + 1.5 x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 x = 1.5 Simplifying x = 1.5Solution
x = {0, -1.5, 1.5}
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