5x(5x+2)=8

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Solution for 5x(5x+2)=8 equation:


Simplifying
5x(5x + 2) = 8

Reorder the terms:
5x(2 + 5x) = 8
(2 * 5x + 5x * 5x) = 8
(10x + 25x2) = 8

Solving
10x + 25x2 = 8

Solving for variable 'x'.

Reorder the terms:
-8 + 10x + 25x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 10x + 25x2 = 0

Factor a trinomial.
(-4 + -5x)(2 + -5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-0.8, 0.4}

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