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Simplifying 5 + 6(x + -8)(x + -8) * forx = 9 Reorder the terms: 5 + 6(-8 + x)(x + -8) * forx = 9 Reorder the terms: 5 + 6(-8 + x)(-8 + x) * forx = 9 Reorder the terms for easier multiplication: 5 + 6forx(-8 + x)(-8 + x) = 9 Multiply (-8 + x) * (-8 + x) 5 + 6forx(-8(-8 + x) + x(-8 + x)) = 9 5 + 6forx((-8 * -8 + x * -8) + x(-8 + x)) = 9 5 + 6forx((64 + -8x) + x(-8 + x)) = 9 5 + 6forx(64 + -8x + (-8 * x + x * x)) = 9 5 + 6forx(64 + -8x + (-8x + x2)) = 9 Combine like terms: -8x + -8x = -16x 5 + 6forx(64 + -16x + x2) = 9 5 + (64 * 6forx + -16x * 6forx + x2 * 6forx) = 9 5 + (384forx + -96forx2 + 6forx3) = 9 Solving 5 + 384forx + -96forx2 + 6forx3 = 9 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 384forx + -96forx2 + -5 + 6forx3 = 9 + -5 Reorder the terms: 5 + -5 + 384forx + -96forx2 + 6forx3 = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 384forx + -96forx2 + 6forx3 = 9 + -5 384forx + -96forx2 + 6forx3 = 9 + -5 Combine like terms: 9 + -5 = 4 384forx + -96forx2 + 6forx3 = 4 Reorder the terms: -4 + 384forx + -96forx2 + 6forx3 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 384forx + -96forx2 + 6forx3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 192forx + -48forx2 + 3forx3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 192forx + -48forx2 + 3forx3)' equal to zero and attempt to solve: Simplifying -2 + 192forx + -48forx2 + 3forx3 = 0 Solving -2 + 192forx + -48forx2 + 3forx3 = 0 Move all terms containing f to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 192forx + -48forx2 + 2 + 3forx3 = 0 + 2 Reorder the terms: -2 + 2 + 192forx + -48forx2 + 3forx3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 192forx + -48forx2 + 3forx3 = 0 + 2 192forx + -48forx2 + 3forx3 = 0 + 2 Combine like terms: 0 + 2 = 2 192forx + -48forx2 + 3forx3 = 2 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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