0=-5x^2-21x-18

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Solution for 0=-5x^2-21x-18 equation:


Simplifying
0 = -5x2 + -21x + -18

Reorder the terms:
0 = -18 + -21x + -5x2

Solving
0 = -18 + -21x + -5x2

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + 21x + 5x2 = -18 + -21x + -5x2 + 18 + 21x + 5x2

Reorder the terms:
18 + 21x + 5x2 = -18 + 18 + -21x + 21x + -5x2 + 5x2

Combine like terms: -18 + 18 = 0
18 + 21x + 5x2 = 0 + -21x + 21x + -5x2 + 5x2
18 + 21x + 5x2 = -21x + 21x + -5x2 + 5x2

Combine like terms: -21x + 21x = 0
18 + 21x + 5x2 = 0 + -5x2 + 5x2
18 + 21x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
18 + 21x + 5x2 = 0

Factor a trinomial.
(3 + x)(6 + 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 '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2

Solution

x = {-3, -1.2}

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