(3X-4)(X+7)=

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Solution for (3X-4)(X+7)= equation: 


Simplifying
(3X + -4)(X + 7) = 0

Reorder the terms:
(-4 + 3X)(X + 7) = 0

Reorder the terms:
(-4 + 3X)(7 + X) = 0

Multiply (-4 + 3X) * (7 + X)
(-4(7 + X) + 3X * (7 + X)) = 0
((7 * -4 + X * -4) + 3X * (7 + X)) = 0
((-28 + -4X) + 3X * (7 + X)) = 0
(-28 + -4X + (7 * 3X + X * 3X)) = 0
(-28 + -4X + (21X + 3X2)) = 0

Combine like terms: -4X + 21X = 17X
(-28 + 17X + 3X2) = 0

Solving
-28 + 17X + 3X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-7 + -1X)(4 + -3X) = 0


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

Simplifying
-7 + -1X = 0

Solving
-7 + -1X = 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 + -1X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1X = 0 + 7
-1X = 0 + 7

Combine like terms: 0 + 7 = 7
-1X = 7

Divide each side by '-1'.
X = -7

Simplifying
X = -7

Subproblem 2
Set the factor '(4 + -3X)' equal to zero and attempt to solve:

Simplifying
4 + -3X = 0

Solving
4 + -3X = 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 + -3X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3X = 0 + -4
-3X = 0 + -4

Combine like terms: 0 + -4 = -4
-3X = -4

Divide each side by '-3'.
X = 1.333333333

Simplifying
X = 1.333333333
Solution
X = {-7, 1.333333333}

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