(-6x+2)(-5x+5)=0

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Solution for (-6x+2)(-5x+5)=0 equation: 


Simplifying
(-6x + 2)(-5x + 5) = 0

Reorder the terms:
(2 + -6x)(-5x + 5) = 0

Reorder the terms:
(2 + -6x)(5 + -5x) = 0

Multiply (2 + -6x) * (5 + -5x)
(2(5 + -5x) + -6x * (5 + -5x)) = 0
((5 * 2 + -5x * 2) + -6x * (5 + -5x)) = 0
((10 + -10x) + -6x * (5 + -5x)) = 0
(10 + -10x + (5 * -6x + -5x * -6x)) = 0
(10 + -10x + (-30x + 30x2)) = 0

Combine like terms: -10x + -30x = -40x
(10 + -40x + 30x2) = 0

Solving
10 + -40x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(1 + -4x + 3x2) = 0

Factor a trinomial.
10((1 + -3x)(1 + -1x)) = 0

Ignore the factor 10.

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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 = {0.3333333333, 1}

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