4(13x+60)(3x-11)=0

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Solution for 4(13x+60)(3x-11)=0 equation:


Simplifying
4(13x + 60)(3x + -11) = 0

Reorder the terms:
4(60 + 13x)(3x + -11) = 0

Reorder the terms:
4(60 + 13x)(-11 + 3x) = 0

Multiply (60 + 13x) * (-11 + 3x)
4(60(-11 + 3x) + 13x * (-11 + 3x)) = 0
4((-11 * 60 + 3x * 60) + 13x * (-11 + 3x)) = 0
4((-660 + 180x) + 13x * (-11 + 3x)) = 0
4(-660 + 180x + (-11 * 13x + 3x * 13x)) = 0
4(-660 + 180x + (-143x + 39x2)) = 0

Combine like terms: 180x + -143x = 37x
4(-660 + 37x + 39x2) = 0
(-660 * 4 + 37x * 4 + 39x2 * 4) = 0
(-2640 + 148x + 156x2) = 0

Solving
-2640 + 148x + 156x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-660 + 37x + 39x2) = 0

Factor a trinomial.
4((-60 + -13x)(11 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-60 + -13x)' equal to zero and attempt to solve:

Simplifying
-60 + -13x = 0

Solving
-60 + -13x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -13x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -13x = 0 + 60
-13x = 0 + 60

Combine like terms: 0 + 60 = 60
-13x = 60

Divide each side by '-13'.
x = -4.615384615

Simplifying
x = -4.615384615

Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 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 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {-4.615384615, 3.666666667}

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