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

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


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

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

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

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

Combine like terms: -9x + -7x = -16x
(63 + -16x + x2) = 0

Solving
63 + -16x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x)(9 + -1x) = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {7, 9}

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