0=-5x^2-19x-12

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Solution for 0=-5x^2-19x-12 equation:


Simplifying
0 = -5x2 + -19x + -12

Reorder the terms:
0 = -12 + -19x + -5x2

Solving
0 = -12 + -19x + -5x2

Solving for variable 'x'.

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

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

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

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

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

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

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8

Solution

x = {-3, -0.8}

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