(5X-1)(3X+1)=63

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Solution for (5X-1)(3X+1)=63 equation: 


Simplifying
(5X + -1)(3X + 1) = 63

Reorder the terms:
(-1 + 5X)(3X + 1) = 63

Reorder the terms:
(-1 + 5X)(1 + 3X) = 63

Multiply (-1 + 5X) * (1 + 3X)
(-1(1 + 3X) + 5X * (1 + 3X)) = 63
((1 * -1 + 3X * -1) + 5X * (1 + 3X)) = 63
((-1 + -3X) + 5X * (1 + 3X)) = 63
(-1 + -3X + (1 * 5X + 3X * 5X)) = 63
(-1 + -3X + (5X + 15X2)) = 63

Combine like terms: -3X + 5X = 2X
(-1 + 2X + 15X2) = 63

Solving
-1 + 2X + 15X2 = 63

Solving for variable 'X'.

Reorder the terms:
-1 + -63 + 2X + 15X2 = 63 + -63

Combine like terms: -1 + -63 = -64
-64 + 2X + 15X2 = 63 + -63

Combine like terms: 63 + -63 = 0
-64 + 2X + 15X2 = 0

Factor a trinomial.
(-32 + -15X)(2 + -1X) = 0


Subproblem 1
Set the factor '(-32 + -15X)' equal to zero and attempt to solve:

Simplifying
-32 + -15X = 0

Solving
-32 + -15X = 0

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

Add '32' to each side of the equation.
-32 + 32 + -15X = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -15X = 0 + 32
-15X = 0 + 32

Combine like terms: 0 + 32 = 32
-15X = 32

Divide each side by '-15'.
X = -2.133333333

Simplifying
X = -2.133333333

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

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {-2.133333333, 2}

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