x(x-12)+35=0

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Solution for x(x-12)+35=0 equation:


Simplifying
x(x + -12) + 35 = 0

Reorder the terms:
x(-12 + x) + 35 = 0
(-12 * x + x * x) + 35 = 0
(-12x + x2) + 35 = 0

Reorder the terms:
35 + -12x + x2 = 0

Solving
35 + -12x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {5, 7}

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