solve(x-1)(2x+7)=0

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Solution for solve(x-1)(2x+7)=0 equation:


Simplifying
solve(x + -1)(2x + 7) = 0

Reorder the terms:
elosv(-1 + x)(2x + 7) = 0

Reorder the terms:
elosv(-1 + x)(7 + 2x) = 0

Multiply (-1 + x) * (7 + 2x)
elosv(-1(7 + 2x) + x(7 + 2x)) = 0
elosv((7 * -1 + 2x * -1) + x(7 + 2x)) = 0
elosv((-7 + -2x) + x(7 + 2x)) = 0
elosv(-7 + -2x + (7 * x + 2x * x)) = 0
elosv(-7 + -2x + (7x + 2x2)) = 0

Combine like terms: -2x + 7x = 5x
elosv(-7 + 5x + 2x2) = 0
(-7 * elosv + 5x * elosv + 2x2 * elosv) = 0
(-7elosv + 5elosvx + 2elosvx2) = 0

Solving
-7elosv + 5elosvx + 2elosvx2 = 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(-7 + 5x + 2x2) = 0

Factor a trinomial.
elosv((-7 + -2x)(1 + -1x)) = 0

Subproblem 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 '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Add '2x' to each side of the equation. -2x + 2x = 7 + 2x Combine like terms: -2x + 2x = 0 0 = 7 + 2x Simplifying 0 = 7 + 2x 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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