x(4x+19)+15=0

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Solution for x(4x+19)+15=0 equation:


Simplifying
x(4x + 19) + 15 = 0

Reorder the terms:
x(19 + 4x) + 15 = 0
(19 * x + 4x * x) + 15 = 0
(19x + 4x2) + 15 = 0

Reorder the terms:
15 + 19x + 4x2 = 0

Solving
15 + 19x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + 4x)(1 + x) = 0

Subproblem 1

Set the factor '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75

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 = {-3.75, -1}

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