(x)(x)+x+4=60

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Solution for (x)(x)+x+4=60 equation:


Simplifying
(x)(x) + x + 4 = 60

Multiply x * x
x2 + x + 4 = 60

Reorder the terms:
4 + x + x2 = 60

Solving
4 + x + x2 = 60

Solving for variable 'x'.

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

Combine like terms: 4 + -60 = -56
-56 + x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-56 + x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

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 = {-8, 7}

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