(2x-1)(28x-11)=9x+41

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Solution for (2x-1)(28x-11)=9x+41 equation: 


Simplifying
(2x + -1)(28x + -11) = 9x + 41

Reorder the terms:
(-1 + 2x)(28x + -11) = 9x + 41

Reorder the terms:
(-1 + 2x)(-11 + 28x) = 9x + 41

Multiply (-1 + 2x) * (-11 + 28x)
(-1(-11 + 28x) + 2x * (-11 + 28x)) = 9x + 41
((-11 * -1 + 28x * -1) + 2x * (-11 + 28x)) = 9x + 41
((11 + -28x) + 2x * (-11 + 28x)) = 9x + 41
(11 + -28x + (-11 * 2x + 28x * 2x)) = 9x + 41
(11 + -28x + (-22x + 56x2)) = 9x + 41

Combine like terms: -28x + -22x = -50x
(11 + -50x + 56x2) = 9x + 41

Reorder the terms:
11 + -50x + 56x2 = 41 + 9x

Solving
11 + -50x + 56x2 = 41 + 9x

Solving for variable 'x'.

Reorder the terms:
11 + -41 + -50x + -9x + 56x2 = 41 + 9x + -41 + -9x

Combine like terms: 11 + -41 = -30
-30 + -50x + -9x + 56x2 = 41 + 9x + -41 + -9x

Combine like terms: -50x + -9x = -59x
-30 + -59x + 56x2 = 41 + 9x + -41 + -9x

Reorder the terms:
-30 + -59x + 56x2 = 41 + -41 + 9x + -9x

Combine like terms: 41 + -41 = 0
-30 + -59x + 56x2 = 0 + 9x + -9x
-30 + -59x + 56x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-30 + -59x + 56x2 = 0

Factor a trinomial.
(-3 + -8x)(10 + -7x) = 0


Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve:

Simplifying
-3 + -8x = 0

Solving
-3 + -8x = 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 + -8x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 0 + 3
-8x = 0 + 3

Combine like terms: 0 + 3 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

Subproblem 2
Set the factor '(10 + -7x)' equal to zero and attempt to solve:

Simplifying
10 + -7x = 0

Solving
10 + -7x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -7x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 0 + -10
-7x = 0 + -10

Combine like terms: 0 + -10 = -10
-7x = -10

Divide each side by '-7'.
x = 1.428571429

Simplifying
x = 1.428571429
Solution
x = {-0.375, 1.428571429}

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