x(x-10)+21=0

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Solution for x(x-10)+21=0 equation:


Simplifying
x(x + -10) + 21 = 0

Reorder the terms:
x(-10 + x) + 21 = 0
(-10 * x + x * x) + 21 = 0
(-10x + x2) + 21 = 0

Reorder the terms:
21 + -10x + x2 = 0

Solving
21 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(7 + -1x) = 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 + -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 = {3, 7}

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