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

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

Simplifying
(x + 9)(-7x + 1) = 0

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

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

Multiply (9 + x) * (1 + -7x)
(9(1 + -7x) + x(1 + -7x)) = 0
((1 * 9 + -7x * 9) + x(1 + -7x)) = 0
((9 + -63x) + x(1 + -7x)) = 0
(9 + -63x + (1 * x + -7x * x)) = 0
(9 + -63x + (1x + -7x2)) = 0

Combine like terms: -63x + 1x = -62x
(9 + -62x + -7x2) = 0

Solving
9 + -62x + -7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -7x)(9 + x) = 0

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

Simplifying
1 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
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 = {0.1428571429, -9}