(4-x)(3-x)=0

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Solution for (4-x)(3-x)=0 equation:


Simplifying
(4 + -1x)(3 + -1x) = 0

Multiply (4 + -1x) * (3 + -1x)
(4(3 + -1x) + -1x * (3 + -1x)) = 0
((3 * 4 + -1x * 4) + -1x * (3 + -1x)) = 0
((12 + -4x) + -1x * (3 + -1x)) = 0
(12 + -4x + (3 * -1x + -1x * -1x)) = 0
(12 + -4x + (-3x + 1x2)) = 0

Combine like terms: -4x + -3x = -7x
(12 + -7x + 1x2) = 0

Solving
12 + -7x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

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

Solution

x = {3, 4}

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