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

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Solution for (7x-3)(4x-4)=0 equation: 


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

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

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

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

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

Solving
12 + -40x + 28x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 4.

Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 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 + -7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 0 + -3
-7x = 0 + -3

Combine like terms: 0 + -3 = -3
-7x = -3

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

Subproblem 2
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
Solution
x = {0.4285714286, 1}

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