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Simplifying solve(x + -4)(x + 3)(6x + 7) = 0 Reorder the terms: elosv(-4 + x)(x + 3)(6x + 7) = 0 Reorder the terms: elosv(-4 + x)(3 + x)(6x + 7) = 0 Reorder the terms: elosv(-4 + x)(3 + x)(7 + 6x) = 0 Multiply (-4 + x) * (3 + x) elosv(-4(3 + x) + x(3 + x))(7 + 6x) = 0 elosv((3 * -4 + x * -4) + x(3 + x))(7 + 6x) = 0 elosv((-12 + -4x) + x(3 + x))(7 + 6x) = 0 elosv(-12 + -4x + (3 * x + x * x))(7 + 6x) = 0 elosv(-12 + -4x + (3x + x2))(7 + 6x) = 0 Combine like terms: -4x + 3x = -1x elosv(-12 + -1x + x2)(7 + 6x) = 0 Multiply (-12 + -1x + x2) * (7 + 6x) elosv(-12(7 + 6x) + -1x * (7 + 6x) + x2(7 + 6x)) = 0 elosv((7 * -12 + 6x * -12) + -1x * (7 + 6x) + x2(7 + 6x)) = 0 elosv((-84 + -72x) + -1x * (7 + 6x) + x2(7 + 6x)) = 0 elosv(-84 + -72x + (7 * -1x + 6x * -1x) + x2(7 + 6x)) = 0 elosv(-84 + -72x + (-7x + -6x2) + x2(7 + 6x)) = 0 elosv(-84 + -72x + -7x + -6x2 + (7 * x2 + 6x * x2)) = 0 elosv(-84 + -72x + -7x + -6x2 + (7x2 + 6x3)) = 0 Combine like terms: -72x + -7x = -79x elosv(-84 + -79x + -6x2 + 7x2 + 6x3) = 0 Combine like terms: -6x2 + 7x2 = 1x2 elosv(-84 + -79x + 1x2 + 6x3) = 0 (-84 * elosv + -79x * elosv + 1x2 * elosv + 6x3 * elosv) = 0 (-84elosv + -79elosvx + 1elosvx2 + 6elosvx3) = 0 Solving -84elosv + -79elosvx + 1elosvx2 + 6elosvx3 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'elosv'. elosv(-84 + -79x + x2 + 6x3) = 0Subproblem 1
Set the factor 'elosv' equal to zero and attempt to solve: Simplifying elosv = 0 Solving elosv = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elosv = 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 '(-84 + -79x + x2 + 6x3)' equal to zero and attempt to solve: Simplifying -84 + -79x + x2 + 6x3 = 0 Solving -84 + -79x + x2 + 6x3 = 0 Move all terms containing e to the left, all other terms to the right. Add '84' to each side of the equation. -84 + -79x + x2 + 84 + 6x3 = 0 + 84 Reorder the terms: -84 + 84 + -79x + x2 + 6x3 = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -79x + x2 + 6x3 = 0 + 84 -79x + x2 + 6x3 = 0 + 84 Combine like terms: 0 + 84 = 84 -79x + x2 + 6x3 = 84 Add '79x' to each side of the equation. -79x + x2 + 79x + 6x3 = 84 + 79x Reorder the terms: -79x + 79x + x2 + 6x3 = 84 + 79x Combine like terms: -79x + 79x = 0 0 + x2 + 6x3 = 84 + 79x x2 + 6x3 = 84 + 79x Add '-1x2' to each side of the equation. x2 + -1x2 + 6x3 = 84 + 79x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 6x3 = 84 + 79x + -1x2 6x3 = 84 + 79x + -1x2 Add '-6x3' to each side of the equation. 6x3 + -6x3 = 84 + 79x + -1x2 + -6x3 Combine like terms: 6x3 + -6x3 = 0 0 = 84 + 79x + -1x2 + -6x3 Simplifying 0 = 84 + 79x + -1x2 + -6x3 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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