25x^2+100x+64=0

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Solution for 25x^2+100x+64=0 equation:


Simplifying
25x2 + 100x + 64 = 0

Reorder the terms:
64 + 100x + 25x2 = 0

Solving
64 + 100x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(16 + 5x)(4 + 5x) = 0

Subproblem 1

Set the factor '(16 + 5x)' equal to zero and attempt to solve: Simplifying 16 + 5x = 0 Solving 16 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 0 + -16 5x = 0 + -16 Combine like terms: 0 + -16 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2

Subproblem 2

Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8

Solution

x = {-3.2, -0.8}

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