X^2+9x^2=10

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Solution for X^2+9x^2=10 equation:


Simplifying
X2 + 9x2 = 10

Solving
X2 + 9x2 = 10

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-9x2' to each side of the equation.
X2 + 9x2 + -9x2 = 10 + -9x2

Combine like terms: 9x2 + -9x2 = 0
X2 + 0 = 10 + -9x2
X2 = 10 + -9x2

Simplifying
X2 = 10 + -9x2

Reorder the terms:
-10 + X2 + 9x2 = 10 + -9x2 + -10 + 9x2

Reorder the terms:
-10 + X2 + 9x2 = 10 + -10 + -9x2 + 9x2

Combine like terms: 10 + -10 = 0
-10 + X2 + 9x2 = 0 + -9x2 + 9x2
-10 + X2 + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
-10 + X2 + 9x2 = 0

Factor a trinomial.
(X + -9x)(X + -1x) = 0

Subproblem 1

Set the factor '(X + -9x)' equal to zero and attempt to solve: Simplifying X + -9x = 0 Solving X + -9x = 0 Move all terms containing X to the left, all other terms to the right. Add '9x' to each side of the equation. X + -9x + 9x = 0 + 9x Combine like terms: -9x + 9x = 0 X + 0 = 0 + 9x X = 0 + 9x Remove the zero: X = 9x Simplifying X = 9x

Subproblem 2

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

Solution

X = {9x, x}

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