4+x(x-2)=28

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Solution for 4+x(x-2)=28 equation:


Simplifying
4 + x(x + -2) = 28

Reorder the terms:
4 + x(-2 + x) = 28
4 + (-2 * x + x * x) = 28
4 + (-2x + x2) = 28

Solving
4 + -2x + x2 = 28

Solving for variable 'x'.

Reorder the terms:
4 + -28 + -2x + x2 = 28 + -28

Combine like terms: 4 + -28 = -24
-24 + -2x + x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-24 + -2x + x2 = 0

Factor a trinomial.
(-4 + -1x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

Subproblem 2

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

Solution

x = {-4, 6}

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