(x-4)(x+3)=4*15

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Solution for (x-4)(x+3)=4*15 equation: 


Simplifying
(x + -4)(x + 3) = 4 * 15

Reorder the terms:
(-4 + x)(x + 3) = 4 * 15

Reorder the terms:
(-4 + x)(3 + x) = 4 * 15

Multiply (-4 + x) * (3 + x)
(-4(3 + x) + x(3 + x)) = 4 * 15
((3 * -4 + x * -4) + x(3 + x)) = 4 * 15
((-12 + -4x) + x(3 + x)) = 4 * 15
(-12 + -4x + (3 * x + x * x)) = 4 * 15
(-12 + -4x + (3x + x2)) = 4 * 15

Combine like terms: -4x + 3x = -1x
(-12 + -1x + x2) = 4 * 15

Multiply 4 * 15
-12 + -1x + x2 = 60

Solving
-12 + -1x + x2 = 60

Solving for variable 'x'.

Reorder the terms:
-12 + -60 + -1x + x2 = 60 + -60

Combine like terms: -12 + -60 = -72
-72 + -1x + x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-72 + -1x + x2 = 0

Factor a trinomial.
(-8 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-8, 9}

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