(x-7)(x-2)=

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Solution for (x-7)(x-2)= equation:


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

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

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

Multiply (-7 + x) * (-2 + x)
(-7(-2 + x) + x(-2 + x)) = 0
((-2 * -7 + x * -7) + x(-2 + x)) = 0
((14 + -7x) + x(-2 + x)) = 0
(14 + -7x + (-2 * x + x * x)) = 0
(14 + -7x + (-2x + x2)) = 0

Combine like terms: -7x + -2x = -9x
(14 + -9x + x2) = 0

Solving
14 + -9x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(7 + -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 '(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

Solution

x = {2, 7}

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