2X^2-21X-50=0

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Solution for 2X^2-21X-50=0 equation:


Simplifying
2X2 + -21X + -50 = 0

Reorder the terms:
-50 + -21X + 2X2 = 0

Solving
-50 + -21X + 2X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-2 + -1X)(25 + -2X) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(25 + -2X)' equal to zero and attempt to solve: Simplifying 25 + -2X = 0 Solving 25 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2X = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2X = 0 + -25 -2X = 0 + -25 Combine like terms: 0 + -25 = -25 -2X = -25 Divide each side by '-2'. X = 12.5 Simplifying X = 12.5

Solution

X = {-2, 12.5}

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