36x^2-63x+20=0

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Solution for 36x^2-63x+20=0 equation:


Simplifying
36x2 + -63x + 20 = 0

Reorder the terms:
20 + -63x + 36x2 = 0

Solving
20 + -63x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -12x)(4 + -3x) = 0

Subproblem 1

Set the factor '(5 + -12x)' equal to zero and attempt to solve: Simplifying 5 + -12x = 0 Solving 5 + -12x = 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 + -12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 0 + -5 -12x = 0 + -5 Combine like terms: 0 + -5 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667

Subproblem 2

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

Solution

x = {0.4166666667, 1.333333333}

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