20x^2+9x=18

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Solution for 20x^2+9x=18 equation:


Simplifying
20x2 + 9x = 18

Reorder the terms:
9x + 20x2 = 18

Solving
9x + 20x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + 9x + 20x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 9x + 20x2 = 0

Factor a trinomial.
(-6 + -5x)(3 + -4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {-1.2, 0.75}

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