25x^2+100x+96=0

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Solution for 25x^2+100x+96=0 equation:


Simplifying
25x2 + 100x + 96 = 0

Reorder the terms:
96 + 100x + 25x2 = 0

Solving
96 + 100x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + 5x)(8 + 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 '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6

Solution

x = {-2.4, -1.6}

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