solve(x+1)(3x-2)=0

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Solution for solve(x+1)(3x-2)=0 equation:


Simplifying
solve(x + 1)(3x + -2) = 0

Reorder the terms:
elosv(1 + x)(3x + -2) = 0

Reorder the terms:
elosv(1 + x)(-2 + 3x) = 0

Multiply (1 + x) * (-2 + 3x)
elosv(1(-2 + 3x) + x(-2 + 3x)) = 0
elosv((-2 * 1 + 3x * 1) + x(-2 + 3x)) = 0
elosv((-2 + 3x) + x(-2 + 3x)) = 0
elosv(-2 + 3x + (-2 * x + 3x * x)) = 0
elosv(-2 + 3x + (-2x + 3x2)) = 0

Combine like terms: 3x + -2x = 1x
elosv(-2 + 1x + 3x2) = 0
(-2 * elosv + 1x * elosv + 3x2 * elosv) = 0
(-2elosv + 1elosvx + 3elosvx2) = 0

Solving
-2elosv + 1elosvx + 3elosvx2 = 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(-2 + x + 3x2) = 0

Factor a trinomial.
elosv((-1 + -1x)(2 + -3x)) = 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 '(-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.

Subproblem 3

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Add '3x' to each side of the equation. -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 0 = -2 + 3x Simplifying 0 = -2 + 3x 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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