75x^2+50x=-8

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Solution for 75x^2+50x=-8 equation:


Simplifying
75x2 + 50x = -8

Reorder the terms:
50x + 75x2 = -8

Solving
50x + 75x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 50x + 75x2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 50x + 75x2 = 0

Factor a trinomial.
(2 + 5x)(4 + 15x) = 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 '(4 + 15x)' equal to zero and attempt to solve: Simplifying 4 + 15x = 0 Solving 4 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 15x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15x = 0 + -4 15x = 0 + -4 Combine like terms: 0 + -4 = -4 15x = -4 Divide each side by '15'. x = -0.2666666667 Simplifying x = -0.2666666667

Solution

x = {-0.4, -0.2666666667}

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