x(5x+17)+12=0

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Solution for x(5x+17)+12=0 equation:


Simplifying
x(5x + 17) + 12 = 0

Reorder the terms:
x(17 + 5x) + 12 = 0
(17 * x + 5x * x) + 12 = 0
(17x + 5x2) + 12 = 0

Reorder the terms:
12 + 17x + 5x2 = 0

Solving
12 + 17x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + 5x)(1 + x) = 0

Subproblem 1

Set the factor '(12 + 5x)' equal to zero and attempt to solve: Simplifying 12 + 5x = 0 Solving 12 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 0 + -12 5x = 0 + -12 Combine like terms: 0 + -12 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-2.4, -1}

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