8x^2=-10x-3

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Solution for 8x^2=-10x-3 equation:


Simplifying
8x2 = -10x + -3

Reorder the terms:
8x2 = -3 + -10x

Solving
8x2 = -3 + -10x

Solving for variable 'x'.

Reorder the terms:
3 + 10x + 8x2 = -3 + -10x + 3 + 10x

Reorder the terms:
3 + 10x + 8x2 = -3 + 3 + -10x + 10x

Combine like terms: -3 + 3 = 0
3 + 10x + 8x2 = 0 + -10x + 10x
3 + 10x + 8x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
3 + 10x + 8x2 = 0

Factor a trinomial.
(3 + 4x)(1 + 2x) = 0

Subproblem 1

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {-0.75, -0.5}

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