(5x+12)(x-1)=0

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Solution for (5x+12)(x-1)=0 equation: 


Simplifying
(5x + 12)(x + -1) = 0

Reorder the terms:
(12 + 5x)(x + -1) = 0

Reorder the terms:
(12 + 5x)(-1 + x) = 0

Multiply (12 + 5x) * (-1 + x)
(12(-1 + x) + 5x * (-1 + x)) = 0
((-1 * 12 + x * 12) + 5x * (-1 + x)) = 0
((-12 + 12x) + 5x * (-1 + x)) = 0
(-12 + 12x + (-1 * 5x + x * 5x)) = 0
(-12 + 12x + (-5x + 5x2)) = 0

Combine like terms: 12x + -5x = 7x
(-12 + 7x + 5x2) = 0

Solving
-12 + 7x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -5x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-2.4, 1}

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