(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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