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

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


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

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

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

Multiply (-7 + 7x) * (3 + -4x)
(-7(3 + -4x) + 7x * (3 + -4x)) = 0
((3 * -7 + -4x * -7) + 7x * (3 + -4x)) = 0
((-21 + 28x) + 7x * (3 + -4x)) = 0
(-21 + 28x + (3 * 7x + -4x * 7x)) = 0
(-21 + 28x + (21x + -28x2)) = 0

Combine like terms: 28x + 21x = 49x
(-21 + 49x + -28x2) = 0

Solving
-21 + 49x + -28x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 7.

Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {1, 0.75}

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