(2-13x)(7-4x)=0

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Solution for (2-13x)(7-4x)=0 equation: 


Simplifying
(2 + -13x)(7 + -4x) = 0

Multiply (2 + -13x) * (7 + -4x)
(2(7 + -4x) + -13x * (7 + -4x)) = 0
((7 * 2 + -4x * 2) + -13x * (7 + -4x)) = 0
((14 + -8x) + -13x * (7 + -4x)) = 0
(14 + -8x + (7 * -13x + -4x * -13x)) = 0
(14 + -8x + (-91x + 52x2)) = 0

Combine like terms: -8x + -91x = -99x
(14 + -99x + 52x2) = 0

Solving
14 + -99x + 52x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -13x)(7 + -4x) = 0


Subproblem 1
Set the factor '(2 + -13x)' equal to zero and attempt to solve:

Simplifying
2 + -13x = 0

Solving
2 + -13x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -13x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 0 + -2
-13x = 0 + -2

Combine like terms: 0 + -2 = -2
-13x = -2

Divide each side by '-13'.
x = 0.1538461538

Simplifying
x = 0.1538461538

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {0.1538461538, 1.75}

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