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Simplifying F(0) = 5x2 + -3x Reorder the terms for easier multiplication: 0F = 5x2 + -3x Anything times zero is zero. 0F = 5x2 + -3x Reorder the terms: 0 = -3x + 5x2 Solving 0 = -3x + 5x2 Solving for variable 'x'. Remove the zero: 3x + -5x2 = -3x + 5x2 + 3x + -5x2 Reorder the terms: 3x + -5x2 = -3x + 3x + 5x2 + -5x2 Combine like terms: -3x + 3x = 0 3x + -5x2 = 0 + 5x2 + -5x2 3x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 3x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {0, 0.6}
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