25x^2-120x+144=0

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Solution for 25x^2-120x+144=0 equation:


Simplifying
25x2 + -120x + 144 = 0

Reorder the terms:
144 + -120x + 25x2 = 0

Solving
144 + -120x + 25x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4

Subproblem 2

Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4

Solution

x = {2.4, 2.4}

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