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Simplifying solve(3 + -1w)(2w + 7) = 0 Reorder the terms: elosv(3 + -1w)(7 + 2w) = 0 Multiply (3 + -1w) * (7 + 2w) elosv(3(7 + 2w) + -1w * (7 + 2w)) = 0 elosv((7 * 3 + 2w * 3) + -1w * (7 + 2w)) = 0 elosv((21 + 6w) + -1w * (7 + 2w)) = 0 elosv(21 + 6w + (7 * -1w + 2w * -1w)) = 0 elosv(21 + 6w + (-7w + -2w2)) = 0 Combine like terms: 6w + -7w = -1w elosv(21 + -1w + -2w2) = 0 (21 * elosv + -1w * elosv + -2w2 * elosv) = 0 (21elosv + -1elosvw + -2elosvw2) = 0 Solving 21elosv + -1elosvw + -2elosvw2 = 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(21 + -1w + -2w2) = 0 Factor a trinomial. elosv((3 + -1w)(7 + 2w)) = 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 '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 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 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Add 'w' to each side of the equation. -1w + w = -3 + w Combine like terms: -1w + w = 0 0 = -3 + w Simplifying 0 = -3 + w 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 '(7 + 2w)' equal to zero and attempt to solve: Simplifying 7 + 2w = 0 Solving 7 + 2w = 0 Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 0 + -7 2w = 0 + -7 Combine like terms: 0 + -7 = -7 2w = -7 Add '-2w' to each side of the equation. 2w + -2w = -7 + -2w Combine like terms: 2w + -2w = 0 0 = -7 + -2w Simplifying 0 = -7 + -2w 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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