5x^2-8x-1=3

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Solution for 5x^2-8x-1=3 equation:


Simplifying
5x2 + -8x + -1 = 3

Reorder the terms:
-1 + -8x + 5x2 = 3

Solving
-1 + -8x + 5x2 = 3

Solving for variable 'x'.

Reorder the terms:
-1 + -3 + -8x + 5x2 = 3 + -3

Combine like terms: -1 + -3 = -4
-4 + -8x + 5x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-4 + -8x + 5x2 = 0

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

Solution

x = {-0.4, 2}

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