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Simplifying factor(x + 2)(2x4 + 4x3 + -88x2 + -36x + -630) = 0 Reorder the terms: acfort(2 + x)(2x4 + 4x3 + -88x2 + -36x + -630) = 0 Reorder the terms: acfort(2 + x)(-630 + -36x + -88x2 + 4x3 + 2x4) = 0 Multiply (2 + x) * (-630 + -36x + -88x2 + 4x3 + 2x4) acfort(2(-630 + -36x + -88x2 + 4x3 + 2x4) + x(-630 + -36x + -88x2 + 4x3 + 2x4)) = 0 acfort((-630 * 2 + -36x * 2 + -88x2 * 2 + 4x3 * 2 + 2x4 * 2) + x(-630 + -36x + -88x2 + 4x3 + 2x4)) = 0 acfort((-1260 + -72x + -176x2 + 8x3 + 4x4) + x(-630 + -36x + -88x2 + 4x3 + 2x4)) = 0 acfort(-1260 + -72x + -176x2 + 8x3 + 4x4 + (-630 * x + -36x * x + -88x2 * x + 4x3 * x + 2x4 * x)) = 0 acfort(-1260 + -72x + -176x2 + 8x3 + 4x4 + (-630x + -36x2 + -88x3 + 4x4 + 2x5)) = 0 Reorder the terms: acfort(-1260 + -72x + -630x + -176x2 + -36x2 + 8x3 + -88x3 + 4x4 + 4x4 + 2x5) = 0 Combine like terms: -72x + -630x = -702x acfort(-1260 + -702x + -176x2 + -36x2 + 8x3 + -88x3 + 4x4 + 4x4 + 2x5) = 0 Combine like terms: -176x2 + -36x2 = -212x2 acfort(-1260 + -702x + -212x2 + 8x3 + -88x3 + 4x4 + 4x4 + 2x5) = 0 Combine like terms: 8x3 + -88x3 = -80x3 acfort(-1260 + -702x + -212x2 + -80x3 + 4x4 + 4x4 + 2x5) = 0 Combine like terms: 4x4 + 4x4 = 8x4 acfort(-1260 + -702x + -212x2 + -80x3 + 8x4 + 2x5) = 0 (-1260 * acfort + -702x * acfort + -212x2 * acfort + -80x3 * acfort + 8x4 * acfort + 2x5 * acfort) = 0 (-1260acfort + -702acfortx + -212acfortx2 + -80acfortx3 + 8acfortx4 + 2acfortx5) = 0 Solving -1260acfort + -702acfortx + -212acfortx2 + -80acfortx3 + 8acfortx4 + 2acfortx5 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2acfort'. 2acfort(-630 + -351x + -106x2 + -40x3 + 4x4 + x5) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'acfort' equal to zero and attempt to solve: Simplifying acfort = 0 Solving acfort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfort = 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 '(-630 + -351x + -106x2 + -40x3 + 4x4 + x5)' equal to zero and attempt to solve: Simplifying -630 + -351x + -106x2 + -40x3 + 4x4 + x5 = 0 Solving -630 + -351x + -106x2 + -40x3 + 4x4 + x5 = 0 Move all terms containing a to the left, all other terms to the right. Add '630' to each side of the equation. -630 + -351x + -106x2 + -40x3 + 4x4 + 630 + x5 = 0 + 630 Reorder the terms: -630 + 630 + -351x + -106x2 + -40x3 + 4x4 + x5 = 0 + 630 Combine like terms: -630 + 630 = 0 0 + -351x + -106x2 + -40x3 + 4x4 + x5 = 0 + 630 -351x + -106x2 + -40x3 + 4x4 + x5 = 0 + 630 Combine like terms: 0 + 630 = 630 -351x + -106x2 + -40x3 + 4x4 + x5 = 630 Add '351x' to each side of the equation. -351x + -106x2 + -40x3 + 4x4 + 351x + x5 = 630 + 351x Reorder the terms: -351x + 351x + -106x2 + -40x3 + 4x4 + x5 = 630 + 351x Combine like terms: -351x + 351x = 0 0 + -106x2 + -40x3 + 4x4 + x5 = 630 + 351x -106x2 + -40x3 + 4x4 + x5 = 630 + 351x Add '106x2' to each side of the equation. -106x2 + -40x3 + 4x4 + 106x2 + x5 = 630 + 351x + 106x2 Reorder the terms: -106x2 + 106x2 + -40x3 + 4x4 + x5 = 630 + 351x + 106x2 Combine like terms: -106x2 + 106x2 = 0 0 + -40x3 + 4x4 + x5 = 630 + 351x + 106x2 -40x3 + 4x4 + x5 = 630 + 351x + 106x2 Add '40x3' to each side of the equation. -40x3 + 4x4 + 40x3 + x5 = 630 + 351x + 106x2 + 40x3 Reorder the terms: -40x3 + 40x3 + 4x4 + x5 = 630 + 351x + 106x2 + 40x3 Combine like terms: -40x3 + 40x3 = 0 0 + 4x4 + x5 = 630 + 351x + 106x2 + 40x3 4x4 + x5 = 630 + 351x + 106x2 + 40x3 Add '-4x4' to each side of the equation. 4x4 + -4x4 + x5 = 630 + 351x + 106x2 + 40x3 + -4x4 Combine like terms: 4x4 + -4x4 = 0 0 + x5 = 630 + 351x + 106x2 + 40x3 + -4x4 x5 = 630 + 351x + 106x2 + 40x3 + -4x4 Add '-1x5' to each side of the equation. x5 + -1x5 = 630 + 351x + 106x2 + 40x3 + -4x4 + -1x5 Combine like terms: x5 + -1x5 = 0 0 = 630 + 351x + 106x2 + 40x3 + -4x4 + -1x5 Simplifying 0 = 630 + 351x + 106x2 + 40x3 + -4x4 + -1x5 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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