0=20x^2+9x-20

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Solution for 0=20x^2+9x-20 equation:


Simplifying
0 = 20x2 + 9x + -20

Reorder the terms:
0 = -20 + 9x + 20x2

Solving
0 = -20 + 9x + 20x2

Solving for variable 'x'.

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

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

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

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

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

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

Subproblem 1

Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Subproblem 2

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

Solution

x = {0.8, -1.25}

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