x(x-4)-2=43

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Solution for x(x-4)-2=43 equation:


Simplifying
x(x + -4) + -2 = 43

Reorder the terms:
x(-4 + x) + -2 = 43
(-4 * x + x * x) + -2 = 43
(-4x + x2) + -2 = 43

Reorder the terms:
-2 + -4x + x2 = 43

Solving
-2 + -4x + x2 = 43

Solving for variable 'x'.

Reorder the terms:
-2 + -43 + -4x + x2 = 43 + -43

Combine like terms: -2 + -43 = -45
-45 + -4x + x2 = 43 + -43

Combine like terms: 43 + -43 = 0
-45 + -4x + x2 = 0

Factor a trinomial.
(-5 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-5, 9}

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