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Simplifying f(x) = -10x2f(x + h) Multiply f * x fx = -10x2f(x + h) Reorder the terms: fx = -10fx2(h + x) fx = (h * -10fx2 + x * -10fx2) fx = (-10fhx2 + -10fx3) Solving fx = -10fhx2 + -10fx3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '10fhx2' to each side of the equation. 10fhx2 + fx = -10fhx2 + 10fhx2 + -10fx3 Combine like terms: -10fhx2 + 10fhx2 = 0 10fhx2 + fx = 0 + -10fx3 10fhx2 + fx = -10fx3 Add '10fx3' to each side of the equation. 10fhx2 + fx + 10fx3 = -10fx3 + 10fx3 Combine like terms: -10fx3 + 10fx3 = 0 10fhx2 + fx + 10fx3 = 0 Factor out the Greatest Common Factor (GCF), 'fx'. fx(10hx + 1 + 10x2) = 0Subproblem 1
Set the factor 'fx' equal to zero and attempt to solve: Simplifying fx = 0 Solving fx = 0 Move all terms containing f to the left, all other terms to the right. Simplifying fx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(10hx + 1 + 10x2)' equal to zero and attempt to solve: Simplifying 10hx + 1 + 10x2 = 0 Reorder the terms: 1 + 10hx + 10x2 = 0 Solving 1 + 10hx + 10x2 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 10hx + -1 + 10x2 = 0 + -1 Reorder the terms: 1 + -1 + 10hx + 10x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10hx + 10x2 = 0 + -1 10hx + 10x2 = 0 + -1 Combine like terms: 0 + -1 = -1 10hx + 10x2 = -1 Add '-10hx' to each side of the equation. 10hx + -10hx + 10x2 = -1 + -10hx Combine like terms: 10hx + -10hx = 0 0 + 10x2 = -1 + -10hx 10x2 = -1 + -10hx Add '-10x2' to each side of the equation. 10x2 + -10x2 = -1 + -10hx + -10x2 Combine like terms: 10x2 + -10x2 = 0 0 = -1 + -10hx + -10x2 Simplifying 0 = -1 + -10hx + -10x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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