0=-1(x+7)(x-4)

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Solution for 0=-1(x+7)(x-4) equation: 


Simplifying
0 = -1(x + 7)(x + -4)

Reorder the terms:
0 = -1(7 + x)(x + -4)

Reorder the terms:
0 = -1(7 + x)(-4 + x)

Multiply (7 + x) * (-4 + x)
0 = -1(7(-4 + x) + x(-4 + x))
0 = -1((-4 * 7 + x * 7) + x(-4 + x))
0 = -1((-28 + 7x) + x(-4 + x))
0 = -1(-28 + 7x + (-4 * x + x * x))
0 = -1(-28 + 7x + (-4x + x2))

Combine like terms: 7x + -4x = 3x
0 = -1(-28 + 3x + x2)
0 = (-28 * -1 + 3x * -1 + x2 * -1)
0 = (28 + -3x + -1x2)

Solving
0 = 28 + -3x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + -28 = -28
-28 + 3x + x2 = 28 + -3x + -1x2 + -28 + 3x + x2

Reorder the terms:
-28 + 3x + x2 = 28 + -28 + -3x + 3x + -1x2 + x2

Combine like terms: 28 + -28 = 0
-28 + 3x + x2 = 0 + -3x + 3x + -1x2 + x2
-28 + 3x + x2 = -3x + 3x + -1x2 + x2

Combine like terms: -3x + 3x = 0
-28 + 3x + x2 = 0 + -1x2 + x2
-28 + 3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-28 + 3x + x2 = 0

Factor a trinomial.
(-7 + -1x)(4 + -1x) = 0


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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-7, 4}

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