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Simplifying solve(3x + 4)(2x + -3) = 0 Reorder the terms: elosv(4 + 3x)(2x + -3) = 0 Reorder the terms: elosv(4 + 3x)(-3 + 2x) = 0 Multiply (4 + 3x) * (-3 + 2x) elosv(4(-3 + 2x) + 3x * (-3 + 2x)) = 0 elosv((-3 * 4 + 2x * 4) + 3x * (-3 + 2x)) = 0 elosv((-12 + 8x) + 3x * (-3 + 2x)) = 0 elosv(-12 + 8x + (-3 * 3x + 2x * 3x)) = 0 elosv(-12 + 8x + (-9x + 6x2)) = 0 Combine like terms: 8x + -9x = -1x elosv(-12 + -1x + 6x2) = 0 (-12 * elosv + -1x * elosv + 6x2 * elosv) = 0 (-12elosv + -1elosvx + 6elosvx2) = 0 Solving -12elosv + -1elosvx + 6elosvx2 = 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(-12 + -1x + 6x2) = 0 Factor a trinomial. elosv((-4 + -3x)(3 + -2x)) = 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 '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Add '3x' to each side of the equation. -3x + 3x = 4 + 3x Combine like terms: -3x + 3x = 0 0 = 4 + 3x Simplifying 0 = 4 + 3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Add '2x' to each side of the equation. -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 0 = -3 + 2x Simplifying 0 = -3 + 2x 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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