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Simplifying F(x) = x(3x + -7) Multiply F * x xF = x(3x + -7) Reorder the terms: xF = x(-7 + 3x) xF = (-7 * x + 3x * x) xF = (-7x + 3x2) Solving xF = -7x + 3x2 Solving for variable 'x'. Reorder the terms: 7x + xF + -3x2 = -7x + 3x2 + 7x + -3x2 Reorder the terms: 7x + xF + -3x2 = -7x + 7x + 3x2 + -3x2 Combine like terms: -7x + 7x = 0 7x + xF + -3x2 = 0 + 3x2 + -3x2 7x + xF + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 7x + xF + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + F + -3x) = 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 '(7 + F + -3x)' equal to zero and attempt to solve: Simplifying 7 + F + -3x = 0 Solving 7 + F + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + F + -7 + -3x = 0 + -7 Reorder the terms: 7 + -7 + F + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + F + -3x = 0 + -7 F + -3x = 0 + -7 Combine like terms: 0 + -7 = -7 F + -3x = -7 Add '-1F' to each side of the equation. F + -1F + -3x = -7 + -1F Combine like terms: F + -1F = 0 0 + -3x = -7 + -1F -3x = -7 + -1F Divide each side by '-3'. x = 2.333333333 + 0.3333333333F Simplifying x = 2.333333333 + 0.3333333333FSolution
x = {0, 2.333333333 + 0.3333333333F}
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