4x(3x-10)-11(3x-10)=0

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Solution for 4x(3x-10)-11(3x-10)=0 equation: 


Simplifying
4x(3x + -10) + -11(3x + -10) = 0

Reorder the terms:
4x(-10 + 3x) + -11(3x + -10) = 0
(-10 * 4x + 3x * 4x) + -11(3x + -10) = 0
(-40x + 12x2) + -11(3x + -10) = 0

Reorder the terms:
-40x + 12x2 + -11(-10 + 3x) = 0
-40x + 12x2 + (-10 * -11 + 3x * -11) = 0
-40x + 12x2 + (110 + -33x) = 0

Reorder the terms:
110 + -40x + -33x + 12x2 = 0

Combine like terms: -40x + -33x = -73x
110 + -73x + 12x2 = 0

Solving
110 + -73x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -4x)(10 + -3x) = 0


Subproblem 1
Set the factor '(11 + -4x)' equal to zero and attempt to solve:

Simplifying
11 + -4x = 0

Solving
11 + -4x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 0 + -11
-4x = 0 + -11

Combine like terms: 0 + -11 = -11
-4x = -11

Divide each side by '-4'.
x = 2.75

Simplifying
x = 2.75

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 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 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {2.75, 3.333333333}

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