4x(5x+2)=-5x-2

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Solution for 4x(5x+2)=-5x-2 equation:


Simplifying
4x(5x + 2) = -5x + -2

Reorder the terms:
4x(2 + 5x) = -5x + -2
(2 * 4x + 5x * 4x) = -5x + -2
(8x + 20x2) = -5x + -2

Reorder the terms:
8x + 20x2 = -2 + -5x

Solving
8x + 20x2 = -2 + -5x

Solving for variable 'x'.

Reorder the terms:
2 + 8x + 5x + 20x2 = -2 + -5x + 2 + 5x

Combine like terms: 8x + 5x = 13x
2 + 13x + 20x2 = -2 + -5x + 2 + 5x

Reorder the terms:
2 + 13x + 20x2 = -2 + 2 + -5x + 5x

Combine like terms: -2 + 2 = 0
2 + 13x + 20x2 = 0 + -5x + 5x
2 + 13x + 20x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 13x + 20x2 = 0

Factor a trinomial.
(2 + 5x)(1 + 4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {-0.4, -0.25}

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