(6X-7)(X+4)=0

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Solution for (6X-7)(X+4)=0 equation: 


Simplifying
(6X + -7)(X + 4) = 0

Reorder the terms:
(-7 + 6X)(X + 4) = 0

Reorder the terms:
(-7 + 6X)(4 + X) = 0

Multiply (-7 + 6X) * (4 + X)
(-7(4 + X) + 6X * (4 + X)) = 0
((4 * -7 + X * -7) + 6X * (4 + X)) = 0
((-28 + -7X) + 6X * (4 + X)) = 0
(-28 + -7X + (4 * 6X + X * 6X)) = 0
(-28 + -7X + (24X + 6X2)) = 0

Combine like terms: -7X + 24X = 17X
(-28 + 17X + 6X2) = 0

Solving
-28 + 17X + 6X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-4 + -1X)(7 + -6X) = 0


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

Simplifying
-4 + -1X = 0

Solving
-4 + -1X = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1X = 0 + 4
-1X = 0 + 4

Combine like terms: 0 + 4 = 4
-1X = 4

Divide each side by '-1'.
X = -4

Simplifying
X = -4

Subproblem 2
Set the factor '(7 + -6X)' equal to zero and attempt to solve:

Simplifying
7 + -6X = 0

Solving
7 + -6X = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6X = 0 + -7
-6X = 0 + -7

Combine like terms: 0 + -7 = -7
-6X = -7

Divide each side by '-6'.
X = 1.166666667

Simplifying
X = 1.166666667
Solution
X = {-4, 1.166666667}

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