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Simplifying solvex(2x + 1)(x + 7) = 0 Reorder the terms: elosvx(1 + 2x)(x + 7) = 0 Reorder the terms: elosvx(1 + 2x)(7 + x) = 0 Multiply (1 + 2x) * (7 + x) elosvx(1(7 + x) + 2x * (7 + x)) = 0 elosvx((7 * 1 + x * 1) + 2x * (7 + x)) = 0 elosvx((7 + 1x) + 2x * (7 + x)) = 0 elosvx(7 + 1x + (7 * 2x + x * 2x)) = 0 elosvx(7 + 1x + (14x + 2x2)) = 0 Combine like terms: 1x + 14x = 15x elosvx(7 + 15x + 2x2) = 0 (7 * elosvx + 15x * elosvx + 2x2 * elosvx) = 0 (7elosvx + 15elosvx2 + 2elosvx3) = 0 Solving 7elosvx + 15elosvx2 + 2elosvx3 = 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), 'elosvx'. elosvx(7 + 15x + 2x2) = 0 Factor a trinomial. elosvx((7 + x)(1 + 2x)) = 0Subproblem 1
Set the factor 'elosvx' equal to zero and attempt to solve: Simplifying elosvx = 0 Solving elosvx = 0 Move all terms containing e to the left, all other terms to the right. Simplifying elosvx = 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -1x 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -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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