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Simplifying x2 + 3x + 4.5 = 4.5 Reorder the terms: 4.5 + 3x + x2 = 4.5 Add '-4.5' to each side of the equation. 4.5 + 3x + -4.5 + x2 = 4.5 + -4.5 Reorder the terms: 4.5 + -4.5 + 3x + x2 = 4.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 3x + x2 = 4.5 + -4.5 3x + x2 = 4.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 3x + x2 = 0.0 Solving 3x + x2 = 0.0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + x) = 0.0Subproblem 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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