solve(2x-1)(x+5)=0

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Solution for solve(2x-1)(x+5)=0 equation:


Simplifying
solve(2x + -1)(x + 5) = 0

Reorder the terms:
elosv(-1 + 2x)(x + 5) = 0

Reorder the terms:
elosv(-1 + 2x)(5 + x) = 0

Multiply (-1 + 2x) * (5 + x)
elosv(-1(5 + x) + 2x * (5 + x)) = 0
elosv((5 * -1 + x * -1) + 2x * (5 + x)) = 0
elosv((-5 + -1x) + 2x * (5 + x)) = 0
elosv(-5 + -1x + (5 * 2x + x * 2x)) = 0
elosv(-5 + -1x + (10x + 2x2)) = 0

Combine like terms: -1x + 10x = 9x
elosv(-5 + 9x + 2x2) = 0
(-5 * elosv + 9x * elosv + 2x2 * elosv) = 0
(-5elosv + 9elosvx + 2elosvx2) = 0

Solving
-5elosv + 9elosvx + 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(-5 + 9x + 2x2) = 0

Factor a trinomial.
elosv((-5 + -1x)(1 + -2x)) = 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 '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Add 'x' to each side of the equation. -1x + x = 5 + x Combine like terms: -1x + x = 0 0 = 5 + x Simplifying 0 = 5 + x 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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