0=(2x-7)(x+9)

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Solution for 0=(2x-7)(x+9) equation: 


Simplifying
0 = (2x + -7)(x + 9)

Reorder the terms:
0 = (-7 + 2x)(x + 9)

Reorder the terms:
0 = (-7 + 2x)(9 + x)

Multiply (-7 + 2x) * (9 + x)
0 = (-7(9 + x) + 2x * (9 + x))
0 = ((9 * -7 + x * -7) + 2x * (9 + x))
0 = ((-63 + -7x) + 2x * (9 + x))
0 = (-63 + -7x + (9 * 2x + x * 2x))
0 = (-63 + -7x + (18x + 2x2))

Combine like terms: -7x + 18x = 11x
0 = (-63 + 11x + 2x2)

Solving
0 = -63 + 11x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 63 = 63
63 + -11x + -2x2 = -63 + 11x + 2x2 + 63 + -11x + -2x2

Reorder the terms:
63 + -11x + -2x2 = -63 + 63 + 11x + -11x + 2x2 + -2x2

Combine like terms: -63 + 63 = 0
63 + -11x + -2x2 = 0 + 11x + -11x + 2x2 + -2x2
63 + -11x + -2x2 = 11x + -11x + 2x2 + -2x2

Combine like terms: 11x + -11x = 0
63 + -11x + -2x2 = 0 + 2x2 + -2x2
63 + -11x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
63 + -11x + -2x2 = 0

Factor a trinomial.
(7 + -2x)(9 + x) = 0


Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

Simplifying
x = -9
Solution
x = {3.5, -9}

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