(7x-4)(2x-17)=0

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Solution for (7x-4)(2x-17)=0 equation: 


Simplifying
(7x + -4)(2x + -17) = 0

Reorder the terms:
(-4 + 7x)(2x + -17) = 0

Reorder the terms:
(-4 + 7x)(-17 + 2x) = 0

Multiply (-4 + 7x) * (-17 + 2x)
(-4(-17 + 2x) + 7x * (-17 + 2x)) = 0
((-17 * -4 + 2x * -4) + 7x * (-17 + 2x)) = 0
((68 + -8x) + 7x * (-17 + 2x)) = 0
(68 + -8x + (-17 * 7x + 2x * 7x)) = 0
(68 + -8x + (-119x + 14x2)) = 0

Combine like terms: -8x + -119x = -127x
(68 + -127x + 14x2) = 0

Solving
68 + -127x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(17 + -2x) = 0


Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

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

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

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5
Solution
x = {0.5714285714, 8.5}

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