(16x+11)(-7x+12)=0

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Solution for (16x+11)(-7x+12)=0 equation: 


Simplifying
(16x + 11)(-7x + 12) = 0

Reorder the terms:
(11 + 16x)(-7x + 12) = 0

Reorder the terms:
(11 + 16x)(12 + -7x) = 0

Multiply (11 + 16x) * (12 + -7x)
(11(12 + -7x) + 16x * (12 + -7x)) = 0
((12 * 11 + -7x * 11) + 16x * (12 + -7x)) = 0
((132 + -77x) + 16x * (12 + -7x)) = 0
(132 + -77x + (12 * 16x + -7x * 16x)) = 0
(132 + -77x + (192x + -112x2)) = 0

Combine like terms: -77x + 192x = 115x
(132 + 115x + -112x2) = 0

Solving
132 + 115x + -112x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(12 + -7x)(11 + 16x) = 0


Subproblem 1
Set the factor '(12 + -7x)' equal to zero and attempt to solve:

Simplifying
12 + -7x = 0

Solving
12 + -7x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -7x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 0 + -12
-7x = 0 + -12

Combine like terms: 0 + -12 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714

Subproblem 2
Set the factor '(11 + 16x)' equal to zero and attempt to solve:

Simplifying
11 + 16x = 0

Solving
11 + 16x = 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 + 16x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 16x = 0 + -11
16x = 0 + -11

Combine like terms: 0 + -11 = -11
16x = -11

Divide each side by '16'.
x = -0.6875

Simplifying
x = -0.6875
Solution
x = {1.714285714, -0.6875}

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