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

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Solution for (4X+7)(3X-7)=0 equation: 


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

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

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

Multiply (7 + 4X) * (-7 + 3X)
(7(-7 + 3X) + 4X * (-7 + 3X)) = 0
((-7 * 7 + 3X * 7) + 4X * (-7 + 3X)) = 0
((-49 + 21X) + 4X * (-7 + 3X)) = 0
(-49 + 21X + (-7 * 4X + 3X * 4X)) = 0
(-49 + 21X + (-28X + 12X2)) = 0

Combine like terms: 21X + -28X = -7X
(-49 + -7X + 12X2) = 0

Solving
-49 + -7X + 12X2 = 0

Solving for variable 'X'.

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


Subproblem 1
Set the factor '(-7 + -4X)' equal to zero and attempt to solve:

Simplifying
-7 + -4X = 0

Solving
-7 + -4X = 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 + -4X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4X = 0 + 7
-4X = 0 + 7

Combine like terms: 0 + 7 = 7
-4X = 7

Divide each side by '-4'.
X = -1.75

Simplifying
X = -1.75

Subproblem 2
Set the factor '(7 + -3X)' equal to zero and attempt to solve:

Simplifying
7 + -3X = 0

Solving
7 + -3X = 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 + -3X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3X = 0 + -7
-3X = 0 + -7

Combine like terms: 0 + -7 = -7
-3X = -7

Divide each side by '-3'.
X = 2.333333333

Simplifying
X = 2.333333333
Solution
X = {-1.75, 2.333333333}

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