26=15x-x^2

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Solution for 26=15x-x^2 equation:


Simplifying
26 = 15x + -1x2

Solving
26 = 15x + -1x2

Solving for variable 'x'.

Reorder the terms:
26 + -15x + x2 = 15x + -15x + -1x2 + x2

Combine like terms: 15x + -15x = 0
26 + -15x + x2 = 0 + -1x2 + x2
26 + -15x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
26 + -15x + x2 = 0

Factor a trinomial.
(2 + -1x)(13 + -1x) = 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 '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {2, 13}

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