(-2x-50)(x+17)=0

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Solution for (-2x-50)(x+17)=0 equation:


Simplifying
(-2x + -50)(x + 17) = 0

Reorder the terms:
(-50 + -2x)(x + 17) = 0

Reorder the terms:
(-50 + -2x)(17 + x) = 0

Multiply (-50 + -2x) * (17 + x)
(-50(17 + x) + -2x * (17 + x)) = 0
((17 * -50 + x * -50) + -2x * (17 + x)) = 0
((-850 + -50x) + -2x * (17 + x)) = 0
(-850 + -50x + (17 * -2x + x * -2x)) = 0
(-850 + -50x + (-34x + -2x2)) = 0

Combine like terms: -50x + -34x = -84x
(-850 + -84x + -2x2) = 0

Solving
-850 + -84x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(425 + 42x + x2) = 0

Factor a trinomial.
-2((25 + x)(17 + x)) = 0

Ignore the factor -2.

Subproblem 1

Set the factor '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 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 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25

Subproblem 2

Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17

Solution

x = {-25, -17}

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