9x^2-3x=20

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Solution for 9x^2-3x=20 equation:


Simplifying
9x2 + -3x = 20

Reorder the terms:
-3x + 9x2 = 20

Solving
-3x + 9x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + -3x + 9x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -3x + 9x2 = 0

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

Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-1.333333333, 1.666666667}

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