x(5x+8)=4

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Solution for x(5x+8)=4 equation:


Simplifying
x(5x + 8) = 4

Reorder the terms:
x(8 + 5x) = 4
(8 * x + 5x * x) = 4
(8x + 5x2) = 4

Solving
8x + 5x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + 8x + 5x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 8x + 5x2 = 0

Factor a trinomial.
(-2 + -1x)(2 + -5x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

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 = {-2, 0.4}

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