20x^2=9x+18

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


Simplifying
20x2 = 9x + 18

Reorder the terms:
20x2 = 18 + 9x

Solving
20x2 = 18 + 9x

Solving for variable 'x'.

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

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

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

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

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

Subproblem 1

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

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 = {-0.75, 1.2}

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