5x^2=-8x-3

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Solution for 5x^2=-8x-3 equation:


Simplifying
5x2 = -8x + -3

Reorder the terms:
5x2 = -3 + -8x

Solving
5x2 = -3 + -8x

Solving for variable 'x'.

Reorder the terms:
3 + 8x + 5x2 = -3 + -8x + 3 + 8x

Reorder the terms:
3 + 8x + 5x2 = -3 + 3 + -8x + 8x

Combine like terms: -3 + 3 = 0
3 + 8x + 5x2 = 0 + -8x + 8x
3 + 8x + 5x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 8x + 5x2 = 0

Factor a trinomial.
(1 + x)(3 + 5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-1, -0.6}

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