20x^2+37x-3=-18

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Solution for 20x^2+37x-3=-18 equation:


Simplifying
20x2 + 37x + -3 = -18

Reorder the terms:
-3 + 37x + 20x2 = -18

Solving
-3 + 37x + 20x2 = -18

Solving for variable 'x'.

Reorder the terms:
-3 + 18 + 37x + 20x2 = -18 + 18

Combine like terms: -3 + 18 = 15
15 + 37x + 20x2 = -18 + 18

Combine like terms: -18 + 18 = 0
15 + 37x + 20x2 = 0

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

Subproblem 1

Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-1.25, -0.6}

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