50x^2+200x=-150

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Solution for 50x^2+200x=-150 equation:


Simplifying
50x2 + 200x = -150

Reorder the terms:
200x + 50x2 = -150

Solving
200x + 50x2 = -150

Solving for variable 'x'.

Reorder the terms:
150 + 200x + 50x2 = -150 + 150

Combine like terms: -150 + 150 = 0
150 + 200x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '50'.
50(3 + 4x + x2) = 0

Factor a trinomial.
50((3 + x)(1 + x)) = 0

Ignore the factor 50.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

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

Solution

x = {-3, -1}

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