x(5x+29)+36=0

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Solution for x(5x+29)+36=0 equation:


Simplifying
x(5x + 29) + 36 = 0

Reorder the terms:
x(29 + 5x) + 36 = 0
(29 * x + 5x * x) + 36 = 0
(29x + 5x2) + 36 = 0

Reorder the terms:
36 + 29x + 5x2 = 0

Solving
36 + 29x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(9 + 5x) = 0

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8

Solution

x = {-4, -1.8}

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