x^2=4x+60

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Solution for x^2=4x+60 equation:


Simplifying
x2 = 4x + 60

Reorder the terms:
x2 = 60 + 4x

Solving
x2 = 60 + 4x

Solving for variable 'x'.

Reorder the terms:
-60 + -4x + x2 = 60 + 4x + -60 + -4x

Reorder the terms:
-60 + -4x + x2 = 60 + -60 + 4x + -4x

Combine like terms: 60 + -60 = 0
-60 + -4x + x2 = 0 + 4x + -4x
-60 + -4x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-60 + -4x + x2 = 0

Factor a trinomial.
(-6 + -1x)(10 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

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 = {-6, 10}

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