(9-x)(7-x)=35

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Solution for (9-x)(7-x)=35 equation:


Simplifying
(9 + -1x)(7 + -1x) = 35

Multiply (9 + -1x) * (7 + -1x)
(9(7 + -1x) + -1x * (7 + -1x)) = 35
((7 * 9 + -1x * 9) + -1x * (7 + -1x)) = 35
((63 + -9x) + -1x * (7 + -1x)) = 35
(63 + -9x + (7 * -1x + -1x * -1x)) = 35
(63 + -9x + (-7x + 1x2)) = 35

Combine like terms: -9x + -7x = -16x
(63 + -16x + 1x2) = 35

Solving
63 + -16x + 1x2 = 35

Solving for variable 'x'.

Reorder the terms:
63 + -35 + -16x + 1x2 = 35 + -35

Combine like terms: 63 + -35 = 28
28 + -16x + 1x2 = 35 + -35

Combine like terms: 35 + -35 = 0
28 + -16x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(14 + -1x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Solution

x = {2, 14}

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