12=(2x+5)x

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Solution for 12=(2x+5)x equation:


Simplifying
12 = (2x + 5) * x

Reorder the terms:
12 = (5 + 2x) * x

Reorder the terms for easier multiplication:
12 = x(5 + 2x)
12 = (5 * x + 2x * x)
12 = (5x + 2x2)

Solving
12 = 5x + 2x2

Solving for variable 'x'.

Reorder the terms:
12 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
12 + -5x + -2x2 = 0 + 2x2 + -2x2
12 + -5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
12 + -5x + -2x2 = 0

Factor a trinomial.
(3 + -2x)(4 + x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {1.5, -4}

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