x(50-2x)=300

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Solution for x(50-2x)=300 equation:


Simplifying
x(50 + -2x) = 300
(50 * x + -2x * x) = 300
(50x + -2x2) = 300

Solving
50x + -2x2 = 300

Solving for variable 'x'.

Reorder the terms:
-300 + 50x + -2x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-300 + 50x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-150 + 25x + -1x2) = 0

Factor a trinomial.
2((-15 + x)(10 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {15, 10}

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