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Simplifying F(x) = (x3 + -2x)(5x + -7) Multiply F * x xF = (x3 + -2x)(5x + -7) Reorder the terms: xF = (-2x + x3)(5x + -7) Reorder the terms: xF = (-2x + x3)(-7 + 5x) Multiply (-2x + x3) * (-7 + 5x) xF = (-2x * (-7 + 5x) + x3(-7 + 5x)) xF = ((-7 * -2x + 5x * -2x) + x3(-7 + 5x)) xF = ((14x + -10x2) + x3(-7 + 5x)) xF = (14x + -10x2 + (-7 * x3 + 5x * x3)) xF = (14x + -10x2 + (-7x3 + 5x4)) xF = (14x + -10x2 + -7x3 + 5x4) Solving xF = 14x + -10x2 + -7x3 + 5x4 Solving for variable 'x'. Reorder the terms: -14x + xF + 10x2 + 7x3 + -5x4 = 14x + -10x2 + -7x3 + 5x4 + -14x + 10x2 + 7x3 + -5x4 Reorder the terms: -14x + xF + 10x2 + 7x3 + -5x4 = 14x + -14x + -10x2 + 10x2 + -7x3 + 7x3 + 5x4 + -5x4 Combine like terms: 14x + -14x = 0 -14x + xF + 10x2 + 7x3 + -5x4 = 0 + -10x2 + 10x2 + -7x3 + 7x3 + 5x4 + -5x4 -14x + xF + 10x2 + 7x3 + -5x4 = -10x2 + 10x2 + -7x3 + 7x3 + 5x4 + -5x4 Combine like terms: -10x2 + 10x2 = 0 -14x + xF + 10x2 + 7x3 + -5x4 = 0 + -7x3 + 7x3 + 5x4 + -5x4 -14x + xF + 10x2 + 7x3 + -5x4 = -7x3 + 7x3 + 5x4 + -5x4 Combine like terms: -7x3 + 7x3 = 0 -14x + xF + 10x2 + 7x3 + -5x4 = 0 + 5x4 + -5x4 -14x + xF + 10x2 + 7x3 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 -14x + xF + 10x2 + 7x3 + -5x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + F + 10x + 7x2 + -5x3) = 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 '(-14 + F + 10x + 7x2 + -5x3)' equal to zero and attempt to solve: Simplifying -14 + F + 10x + 7x2 + -5x3 = 0 Solving -14 + F + 10x + 7x2 + -5x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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