solve(3x-8)(7x+3)=0

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Solution for solve(3x-8)(7x+3)=0 equation:


Simplifying
solve(3x + -8)(7x + 3) = 0

Reorder the terms:
elosv(-8 + 3x)(7x + 3) = 0

Reorder the terms:
elosv(-8 + 3x)(3 + 7x) = 0

Multiply (-8 + 3x) * (3 + 7x)
elosv(-8(3 + 7x) + 3x * (3 + 7x)) = 0
elosv((3 * -8 + 7x * -8) + 3x * (3 + 7x)) = 0
elosv((-24 + -56x) + 3x * (3 + 7x)) = 0
elosv(-24 + -56x + (3 * 3x + 7x * 3x)) = 0
elosv(-24 + -56x + (9x + 21x2)) = 0

Combine like terms: -56x + 9x = -47x
elosv(-24 + -47x + 21x2) = 0
(-24 * elosv + -47x * elosv + 21x2 * elosv) = 0
(-24elosv + -47elosvx + 21elosvx2) = 0

Solving
-24elosv + -47elosvx + 21elosvx2 = 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(-24 + -47x + 21x2) = 0

Factor a trinomial.
elosv((-3 + -7x)(8 + -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 '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 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 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Add '7x' to each side of the equation. -7x + 7x = 3 + 7x Combine like terms: -7x + 7x = 0 0 = 3 + 7x Simplifying 0 = 3 + 7x 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 '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Add '3x' to each side of the equation. -3x + 3x = -8 + 3x Combine like terms: -3x + 3x = 0 0 = -8 + 3x Simplifying 0 = -8 + 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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