(4-x)(7-3x)=

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Solution for (4-x)(7-3x)= equation:


Simplifying
(4 + -1x)(7 + -3x) = 0

Multiply (4 + -1x) * (7 + -3x)
(4(7 + -3x) + -1x * (7 + -3x)) = 0
((7 * 4 + -3x * 4) + -1x * (7 + -3x)) = 0
((28 + -12x) + -1x * (7 + -3x)) = 0
(28 + -12x + (7 * -1x + -3x * -1x)) = 0
(28 + -12x + (-7x + 3x2)) = 0

Combine like terms: -12x + -7x = -19x
(28 + -19x + 3x2) = 0

Solving
28 + -19x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -3x)(4 + -1x) = 0

Subproblem 1

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

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 = {2.333333333, 4}

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