(3-x)(x+7)=0

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Solution for (3-x)(x+7)=0 equation:


Simplifying
(3 + -1x)(x + 7) = 0

Reorder the terms:
(3 + -1x)(7 + x) = 0

Multiply (3 + -1x) * (7 + x)
(3(7 + x) + -1x * (7 + x)) = 0
((7 * 3 + x * 3) + -1x * (7 + x)) = 0
((21 + 3x) + -1x * (7 + x)) = 0
(21 + 3x + (7 * -1x + x * -1x)) = 0
(21 + 3x + (-7x + -1x2)) = 0

Combine like terms: 3x + -7x = -4x
(21 + -4x + -1x2) = 0

Solving
21 + -4x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(7 + x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {3, -7}

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