2x^2-5x-1950=0

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Solution for 2x^2-5x-1950=0 equation:


Simplifying
2x2 + -5x + -1950 = 0

Reorder the terms:
-1950 + -5x + 2x2 = 0

Solving
-1950 + -5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-30 + -1x)(65 + -2x) = 0

Subproblem 1

Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30

Subproblem 2

Set the factor '(65 + -2x)' equal to zero and attempt to solve: Simplifying 65 + -2x = 0 Solving 65 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -2x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -2x = 0 + -65 -2x = 0 + -65 Combine like terms: 0 + -65 = -65 -2x = -65 Divide each side by '-2'. x = 32.5 Simplifying x = 32.5

Solution

x = {-30, 32.5}

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