125x^2-245x+120=0

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Solution for 125x^2-245x+120=0 equation:


Simplifying
125x2 + -245x + 120 = 0

Reorder the terms:
120 + -245x + 125x2 = 0

Solving
120 + -245x + 125x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(24 + -49x + 25x2) = 0

Factor a trinomial.
5((24 + -25x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(24 + -25x)' equal to zero and attempt to solve: Simplifying 24 + -25x = 0 Solving 24 + -25x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -25x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -25x = 0 + -24 -25x = 0 + -24 Combine like terms: 0 + -24 = -24 -25x = -24 Divide each side by '-25'. x = 0.96 Simplifying x = 0.96

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {0.96, 1}

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