7-7=(4x+9)(x-1)

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Solution for 7-7=(4x+9)(x-1) equation: 


Simplifying
7 + -7 = (4x + 9)(x + -1)

Combine like terms: 7 + -7 = 0
0 = (4x + 9)(x + -1)

Reorder the terms:
0 = (9 + 4x)(x + -1)

Reorder the terms:
0 = (9 + 4x)(-1 + x)

Multiply (9 + 4x) * (-1 + x)
0 = (9(-1 + x) + 4x * (-1 + x))
0 = ((-1 * 9 + x * 9) + 4x * (-1 + x))
0 = ((-9 + 9x) + 4x * (-1 + x))
0 = (-9 + 9x + (-1 * 4x + x * 4x))
0 = (-9 + 9x + (-4x + 4x2))

Combine like terms: 9x + -4x = 5x
0 = (-9 + 5x + 4x2)

Solving
0 = -9 + 5x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 9 = 9
9 + -5x + -4x2 = -9 + 5x + 4x2 + 9 + -5x + -4x2

Reorder the terms:
9 + -5x + -4x2 = -9 + 9 + 5x + -5x + 4x2 + -4x2

Combine like terms: -9 + 9 = 0
9 + -5x + -4x2 = 0 + 5x + -5x + 4x2 + -4x2
9 + -5x + -4x2 = 5x + -5x + 4x2 + -4x2

Combine like terms: 5x + -5x = 0
9 + -5x + -4x2 = 0 + 4x2 + -4x2
9 + -5x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
9 + -5x + -4x2 = 0

Factor a trinomial.
(1 + -1x)(9 + 4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {1, -2.25}

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