(3x-7)(4x-1)=

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Solution for (3x-7)(4x-1)= equation:


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

Reorder the terms:
(-7 + 3x)(4x + -1) = 0

Reorder the terms:
(-7 + 3x)(-1 + 4x) = 0

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

Combine like terms: -28x + -3x = -31x
(7 + -31x + 12x2) = 0

Solving
7 + -31x + 12x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Subproblem 2

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

Solution

x = {0.25, 2.333333333}

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