56=(3x+2)x

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Solution for 56=(3x+2)x equation:


Simplifying
56 = (3x + 2) * x

Reorder the terms:
56 = (2 + 3x) * x

Reorder the terms for easier multiplication:
56 = x(2 + 3x)
56 = (2 * x + 3x * x)
56 = (2x + 3x2)

Solving
56 = 2x + 3x2

Solving for variable 'x'.

Reorder the terms:
56 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
56 + -2x + -3x2 = 0 + 3x2 + -3x2
56 + -2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
56 + -2x + -3x2 = 0

Factor a trinomial.
(4 + -1x)(14 + 3x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Subproblem 2

Set the factor '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667

Solution

x = {4, -4.666666667}

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