8x^2+50x+57=0

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Solution for 8x^2+50x+57=0 equation:


Simplifying
8x2 + 50x + 57 = 0

Reorder the terms:
57 + 50x + 8x2 = 0

Solving
57 + 50x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(19 + 4x)(3 + 2x) = 0

Subproblem 1

Set the factor '(19 + 4x)' equal to zero and attempt to solve: Simplifying 19 + 4x = 0 Solving 19 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-4.75, -1.5}

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