x^2-150x+5600=0

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Solution for x^2-150x+5600=0 equation:


Simplifying
x2 + -150x + 5600 = 0

Reorder the terms:
5600 + -150x + x2 = 0

Solving
5600 + -150x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(70 + -1x)(80 + -1x) = 0

Subproblem 1

Set the factor '(70 + -1x)' equal to zero and attempt to solve: Simplifying 70 + -1x = 0 Solving 70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 0 + -70 -1x = 0 + -70 Combine like terms: 0 + -70 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70

Subproblem 2

Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80

Solution

x = {70, 80}

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