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Simplifying 9x2 + -24x + 16 + -16 + x2 = 0 Reorder the terms: 16 + -16 + -24x + 9x2 + x2 = 0 Combine like terms: 16 + -16 = 0 0 + -24x + 9x2 + x2 = 0 -24x + 9x2 + x2 = 0 Combine like terms: 9x2 + x2 = 10x2 -24x + 10x2 = 0 Solving -24x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-12 + 5x) = 0 Ignore the factor 2.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 '(-12 + 5x)' equal to zero and attempt to solve: Simplifying -12 + 5x = 0 Solving -12 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 0 + 12 5x = 0 + 12 Combine like terms: 0 + 12 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4Solution
x = {0, 2.4}
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