(3x+4)(60-2x)=1056

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Solution for (3x+4)(60-2x)=1056 equation: 


Simplifying
(3x + 4)(60 + -2x) = 1056

Reorder the terms:
(4 + 3x)(60 + -2x) = 1056

Multiply (4 + 3x) * (60 + -2x)
(4(60 + -2x) + 3x * (60 + -2x)) = 1056
((60 * 4 + -2x * 4) + 3x * (60 + -2x)) = 1056
((240 + -8x) + 3x * (60 + -2x)) = 1056
(240 + -8x + (60 * 3x + -2x * 3x)) = 1056
(240 + -8x + (180x + -6x2)) = 1056

Combine like terms: -8x + 180x = 172x
(240 + 172x + -6x2) = 1056

Solving
240 + 172x + -6x2 = 1056

Solving for variable 'x'.

Reorder the terms:
240 + -1056 + 172x + -6x2 = 1056 + -1056

Combine like terms: 240 + -1056 = -816
-816 + 172x + -6x2 = 1056 + -1056

Combine like terms: 1056 + -1056 = 0
-816 + 172x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-408 + 86x + -3x2) = 0

Factor a trinomial.
2((-68 + 3x)(6 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-68 + 3x)' equal to zero and attempt to solve:

Simplifying
-68 + 3x = 0

Solving
-68 + 3x = 0

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

Add '68' to each side of the equation.
-68 + 68 + 3x = 0 + 68

Combine like terms: -68 + 68 = 0
0 + 3x = 0 + 68
3x = 0 + 68

Combine like terms: 0 + 68 = 68
3x = 68

Divide each side by '3'.
x = 22.66666667

Simplifying
x = 22.66666667

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {22.66666667, 6}

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