-28x^2-60x+25=0

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Solution for -28x^2-60x+25=0 equation:


Simplifying
-28x2 + -60x + 25 = 0

Reorder the terms:
25 + -60x + -28x2 = 0

Solving
25 + -60x + -28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -14x)(5 + 2x) = 0

Subproblem 1

Set the factor '(5 + -14x)' equal to zero and attempt to solve: Simplifying 5 + -14x = 0 Solving 5 + -14x = 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 + -14x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -14x = 0 + -5 -14x = 0 + -5 Combine like terms: 0 + -5 = -5 -14x = -5 Divide each side by '-14'. x = 0.3571428571 Simplifying x = 0.3571428571

Subproblem 2

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {0.3571428571, -2.5}

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