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

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


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

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

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

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

Combine like terms: -12x + -28x = -40x
(28 + -40x + 12x2) = 0

Solving
28 + -40x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -10x + 3x2) = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

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 = {1, 2.333333333}

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