solve(14+2x)(20+2x)+(14)(20)(x)=832

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Solution for solve(14+2x)(20+2x)+(14)(20)(x)=832 equation:


Simplifying
solve(14 + 2x)(20 + 2x) + (14)(20)(x) = 832

Multiply (14 + 2x) * (20 + 2x)
elosv(14(20 + 2x) + 2x * (20 + 2x)) + (14)(20)(x) = 832
elosv((20 * 14 + 2x * 14) + 2x * (20 + 2x)) + (14)(20)(x) = 832
elosv((280 + 28x) + 2x * (20 + 2x)) + (14)(20)(x) = 832
elosv(280 + 28x + (20 * 2x + 2x * 2x)) + (14)(20)(x) = 832
elosv(280 + 28x + (40x + 4x2)) + (14)(20)(x) = 832

Combine like terms: 28x + 40x = 68x
elosv(280 + 68x + 4x2) + (14)(20)(x) = 832
(280 * elosv + 68x * elosv + 4x2 * elosv) + (14)(20)(x) = 832
(280elosv + 68elosvx + 4elosvx2) + (14)(20)(x) = 832

Multiply 14 * 20
280elosv + 68elosvx + 4elosvx2 + 280x = 832

Solving
280elosv + 68elosvx + 4elosvx2 + 280x = 832

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-280x' to each side of the equation.
280elosv + 68elosvx + 4elosvx2 + 280x + -280x = 832 + -280x

Combine like terms: 280x + -280x = 0
280elosv + 68elosvx + 4elosvx2 + 0 = 832 + -280x
280elosv + 68elosvx + 4elosvx2 = 832 + -280x

Reorder the terms:
-832 + 280elosv + 68elosvx + 4elosvx2 + 280x = 832 + -280x + -832 + 280x

Reorder the terms:
-832 + 280elosv + 68elosvx + 4elosvx2 + 280x = 832 + -832 + -280x + 280x

Combine like terms: 832 + -832 = 0
-832 + 280elosv + 68elosvx + 4elosvx2 + 280x = 0 + -280x + 280x
-832 + 280elosv + 68elosvx + 4elosvx2 + 280x = -280x + 280x

Combine like terms: -280x + 280x = 0
-832 + 280elosv + 68elosvx + 4elosvx2 + 280x = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-208 + 70elosv + 17elosvx + elosvx2 + 70x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-208 + 70elosv + 17elosvx + elosvx2 + 70x)' equal to zero and attempt to solve: Simplifying -208 + 70elosv + 17elosvx + elosvx2 + 70x = 0 Solving -208 + 70elosv + 17elosvx + elosvx2 + 70x = 0 Move all terms containing e to the left, all other terms to the right. Add '208' to each side of the equation. -208 + 70elosv + 17elosvx + elosvx2 + 208 + 70x = 0 + 208 Reorder the terms: -208 + 208 + 70elosv + 17elosvx + elosvx2 + 70x = 0 + 208 Combine like terms: -208 + 208 = 0 0 + 70elosv + 17elosvx + elosvx2 + 70x = 0 + 208 70elosv + 17elosvx + elosvx2 + 70x = 0 + 208 Combine like terms: 0 + 208 = 208 70elosv + 17elosvx + elosvx2 + 70x = 208 Add '-70x' to each side of the equation. 70elosv + 17elosvx + elosvx2 + 70x + -70x = 208 + -70x Combine like terms: 70x + -70x = 0 70elosv + 17elosvx + elosvx2 + 0 = 208 + -70x 70elosv + 17elosvx + elosvx2 = 208 + -70x 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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