(X-9)(x^2+10x+21)=0

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Solution for (X-9)(x^2+10x+21)=0 equation: 


Simplifying
(X + -9)(x2 + 10x + 21) = 0

Reorder the terms:
(-9 + X)(x2 + 10x + 21) = 0

Reorder the terms:
(-9 + X)(21 + 10x + x2) = 0

Multiply (-9 + X) * (21 + 10x + x2)
(-9(21 + 10x + x2) + X(21 + 10x + x2)) = 0
((21 * -9 + 10x * -9 + x2 * -9) + X(21 + 10x + x2)) = 0
((-189 + -90x + -9x2) + X(21 + 10x + x2)) = 0
(-189 + -90x + -9x2 + (21 * X + 10x * X + x2 * X)) = 0
(-189 + -90x + -9x2 + (21X + 10xX + x2X)) = 0

Reorder the terms:
(-189 + 21X + -90x + 10xX + -9x2 + x2X) = 0
(-189 + 21X + -90x + 10xX + -9x2 + x2X) = 0

Solving
-189 + 21X + -90x + 10xX + -9x2 + x2X = 0

Solving for variable 'X'.

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

Add '189' to each side of the equation.
-189 + 21X + -90x + 10xX + -9x2 + 189 + x2X = 0 + 189

Reorder the terms:
-189 + 189 + 21X + -90x + 10xX + -9x2 + x2X = 0 + 189

Combine like terms: -189 + 189 = 0
0 + 21X + -90x + 10xX + -9x2 + x2X = 0 + 189
21X + -90x + 10xX + -9x2 + x2X = 0 + 189

Combine like terms: 0 + 189 = 189
21X + -90x + 10xX + -9x2 + x2X = 189

Add '90x' to each side of the equation.
21X + -90x + 10xX + -9x2 + 90x + x2X = 189 + 90x

Reorder the terms:
21X + -90x + 90x + 10xX + -9x2 + x2X = 189 + 90x

Combine like terms: -90x + 90x = 0
21X + 0 + 10xX + -9x2 + x2X = 189 + 90x
21X + 10xX + -9x2 + x2X = 189 + 90x

Add '9x2' to each side of the equation.
21X + 10xX + -9x2 + 9x2 + x2X = 189 + 90x + 9x2

Combine like terms: -9x2 + 9x2 = 0
21X + 10xX + 0 + x2X = 189 + 90x + 9x2
21X + 10xX + x2X = 189 + 90x + 9x2

Reorder the terms:
-189 + 21X + -90x + 10xX + -9x2 + x2X = 189 + 90x + 9x2 + -189 + -90x + -9x2

Reorder the terms:
-189 + 21X + -90x + 10xX + -9x2 + x2X = 189 + -189 + 90x + -90x + 9x2 + -9x2

Combine like terms: 189 + -189 = 0
-189 + 21X + -90x + 10xX + -9x2 + x2X = 0 + 90x + -90x + 9x2 + -9x2
-189 + 21X + -90x + 10xX + -9x2 + x2X = 90x + -90x + 9x2 + -9x2

Combine like terms: 90x + -90x = 0
-189 + 21X + -90x + 10xX + -9x2 + x2X = 0 + 9x2 + -9x2
-189 + 21X + -90x + 10xX + -9x2 + x2X = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-189 + 21X + -90x + 10xX + -9x2 + x2X = 0

The solution to this equation could not be determined.

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