12x^2+19x=-5

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Solution for 12x^2+19x=-5 equation:


Simplifying
12x2 + 19x = -5

Reorder the terms:
19x + 12x2 = -5

Solving
19x + 12x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + 19x + 12x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 19x + 12x2 = 0

Factor a trinomial.
(5 + 4x)(1 + 3x) = 0

Subproblem 1

Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-1.25, -0.3333333333}

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