25x^2=80x-64

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Solution for 25x^2=80x-64 equation:


Simplifying
25x2 = 80x + -64

Reorder the terms:
25x2 = -64 + 80x

Solving
25x2 = -64 + 80x

Solving for variable 'x'.

Reorder the terms:
64 + -80x + 25x2 = -64 + 80x + 64 + -80x

Reorder the terms:
64 + -80x + 25x2 = -64 + 64 + 80x + -80x

Combine like terms: -64 + 64 = 0
64 + -80x + 25x2 = 0 + 80x + -80x
64 + -80x + 25x2 = 80x + -80x

Combine like terms: 80x + -80x = 0
64 + -80x + 25x2 = 0

Factor a trinomial.
(8 + -5x)(8 + -5x) = 0

Subproblem 1

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

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 = {1.6, 1.6}

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