F(0)=x^2-3x-28

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Solution for F(0)=x^2-3x-28 equation: 


Simplifying
F(0) = x2 + -3x + -28

Reorder the terms for easier multiplication:
0F = x2 + -3x + -28

Anything times zero is zero.
0F = x2 + -3x + -28

Reorder the terms:
0 = -28 + -3x + x2

Solving
0 = -28 + -3x + x2

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
(7 + -1x)(4 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

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

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