0=x^2-46x+360

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Solution for 0=x^2-46x+360 equation:


Simplifying
0 = x2 + -46x + 360

Reorder the terms:
0 = 360 + -46x + x2

Solving
0 = 360 + -46x + x2

Solving for variable 'x'.

Combine like terms: 0 + -360 = -360
-360 + 46x + -1x2 = 360 + -46x + x2 + -360 + 46x + -1x2

Reorder the terms:
-360 + 46x + -1x2 = 360 + -360 + -46x + 46x + x2 + -1x2

Combine like terms: 360 + -360 = 0
-360 + 46x + -1x2 = 0 + -46x + 46x + x2 + -1x2
-360 + 46x + -1x2 = -46x + 46x + x2 + -1x2

Combine like terms: -46x + 46x = 0
-360 + 46x + -1x2 = 0 + x2 + -1x2
-360 + 46x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-360 + 46x + -1x2 = 0

Factor a trinomial.
(-36 + x)(10 + -1x) = 0

Subproblem 1

Set the factor '(-36 + x)' equal to zero and attempt to solve: Simplifying -36 + x = 0 Solving -36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + x = 0 + 36 x = 0 + 36 Combine like terms: 0 + 36 = 36 x = 36 Simplifying x = 36

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 = {36, 10}

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