x(5+12x)=28

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Solution for x(5+12x)=28 equation:


Simplifying
x(5 + 12x) = 28
(5 * x + 12x * x) = 28
(5x + 12x2) = 28

Solving
5x + 12x2 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + 5x + 12x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 5x + 12x2 = 0

Factor a trinomial.
(-7 + -4x)(4 + -3x) = 0

Subproblem 1

Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75

Subproblem 2

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {-1.75, 1.333333333}

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