(X+10)(x-3)(x-9)=0

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Solution for (X+10)(x-3)(x-9)=0 equation:


Simplifying
(X + 10)(x + -3)(x + -9) = 0

Reorder the terms:
(10 + X)(x + -3)(x + -9) = 0

Reorder the terms:
(10 + X)(-3 + x)(x + -9) = 0

Reorder the terms:
(10 + X)(-3 + x)(-9 + x) = 0

Multiply (10 + X) * (-3 + x)
(10(-3 + x) + X(-3 + x))(-9 + x) = 0
((-3 * 10 + x * 10) + X(-3 + x))(-9 + x) = 0
((-30 + 10x) + X(-3 + x))(-9 + x) = 0
(-30 + 10x + (-3 * X + x * X))(-9 + x) = 0
(-30 + 10x + (-3X + xX))(-9 + x) = 0

Reorder the terms:
(-30 + -3X + 10x + xX)(-9 + x) = 0
(-30 + -3X + 10x + xX)(-9 + x) = 0

Multiply (-30 + -3X + 10x + xX) * (-9 + x)
(-30(-9 + x) + -3X * (-9 + x) + 10x * (-9 + x) + xX(-9 + x)) = 0
((-9 * -30 + x * -30) + -3X * (-9 + x) + 10x * (-9 + x) + xX(-9 + x)) = 0
((270 + -30x) + -3X * (-9 + x) + 10x * (-9 + x) + xX(-9 + x)) = 0
(270 + -30x + (-9 * -3X + x * -3X) + 10x * (-9 + x) + xX(-9 + x)) = 0
(270 + -30x + (27X + -3xX) + 10x * (-9 + x) + xX(-9 + x)) = 0
(270 + -30x + 27X + -3xX + (-9 * 10x + x * 10x) + xX(-9 + x)) = 0
(270 + -30x + 27X + -3xX + (-90x + 10x2) + xX(-9 + x)) = 0
(270 + -30x + 27X + -3xX + -90x + 10x2 + (-9 * xX + x * xX)) = 0
(270 + -30x + 27X + -3xX + -90x + 10x2 + (-9xX + x2X)) = 0

Reorder the terms:
(270 + 27X + -30x + -90x + -3xX + -9xX + 10x2 + x2X) = 0

Combine like terms: -30x + -90x = -120x
(270 + 27X + -120x + -3xX + -9xX + 10x2 + x2X) = 0

Combine like terms: -3xX + -9xX = -12xX
(270 + 27X + -120x + -12xX + 10x2 + x2X) = 0

Solving
270 + 27X + -120x + -12xX + 10x2 + x2X = 0

Solving for variable 'X'.

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

Add '-270' to each side of the equation.
270 + 27X + -120x + -12xX + 10x2 + -270 + x2X = 0 + -270

Reorder the terms:
270 + -270 + 27X + -120x + -12xX + 10x2 + x2X = 0 + -270

Combine like terms: 270 + -270 = 0
0 + 27X + -120x + -12xX + 10x2 + x2X = 0 + -270
27X + -120x + -12xX + 10x2 + x2X = 0 + -270

Combine like terms: 0 + -270 = -270
27X + -120x + -12xX + 10x2 + x2X = -270

Add '120x' to each side of the equation.
27X + -120x + -12xX + 10x2 + 120x + x2X = -270 + 120x

Reorder the terms:
27X + -120x + 120x + -12xX + 10x2 + x2X = -270 + 120x

Combine like terms: -120x + 120x = 0
27X + 0 + -12xX + 10x2 + x2X = -270 + 120x
27X + -12xX + 10x2 + x2X = -270 + 120x

Add '-10x2' to each side of the equation.
27X + -12xX + 10x2 + -10x2 + x2X = -270 + 120x + -10x2

Combine like terms: 10x2 + -10x2 = 0
27X + -12xX + 0 + x2X = -270 + 120x + -10x2
27X + -12xX + x2X = -270 + 120x + -10x2

Reorder the terms:
270 + 27X + -120x + -12xX + 10x2 + x2X = -270 + 120x + -10x2 + 270 + -120x + 10x2

Reorder the terms:
270 + 27X + -120x + -12xX + 10x2 + x2X = -270 + 270 + 120x + -120x + -10x2 + 10x2

Combine like terms: -270 + 270 = 0
270 + 27X + -120x + -12xX + 10x2 + x2X = 0 + 120x + -120x + -10x2 + 10x2
270 + 27X + -120x + -12xX + 10x2 + x2X = 120x + -120x + -10x2 + 10x2

Combine like terms: 120x + -120x = 0
270 + 27X + -120x + -12xX + 10x2 + x2X = 0 + -10x2 + 10x2
270 + 27X + -120x + -12xX + 10x2 + x2X = -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
270 + 27X + -120x + -12xX + 10x2 + x2X = 0

The solution to this equation could not be determined.

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