(-3x+7)(-6x+1)=

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Solution for (-3x+7)(-6x+1)= equation: 


Simplifying
(-3x + 7)(-6x + 1) = 0

Reorder the terms:
(7 + -3x)(-6x + 1) = 0

Reorder the terms:
(7 + -3x)(1 + -6x) = 0

Multiply (7 + -3x) * (1 + -6x)
(7(1 + -6x) + -3x * (1 + -6x)) = 0
((1 * 7 + -6x * 7) + -3x * (1 + -6x)) = 0
((7 + -42x) + -3x * (1 + -6x)) = 0
(7 + -42x + (1 * -3x + -6x * -3x)) = 0
(7 + -42x + (-3x + 18x2)) = 0

Combine like terms: -42x + -3x = -45x
(7 + -45x + 18x2) = 0

Solving
7 + -45x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -6x)(7 + -3x) = 0


Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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 = {0.1666666667, 2.333333333}

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