(6-x)(4-x)=0

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Solution for (6-x)(4-x)=0 equation:


Simplifying
(6 + -1x)(4 + -1x) = 0

Multiply (6 + -1x) * (4 + -1x)
(6(4 + -1x) + -1x * (4 + -1x)) = 0
((4 * 6 + -1x * 6) + -1x * (4 + -1x)) = 0
((24 + -6x) + -1x * (4 + -1x)) = 0
(24 + -6x + (4 * -1x + -1x * -1x)) = 0
(24 + -6x + (-4x + 1x2)) = 0

Combine like terms: -6x + -4x = -10x
(24 + -10x + 1x2) = 0

Solving
24 + -10x + 1x2 = 0

Solving for variable 'x'.

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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