x^2+x(2x-45)=0

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Solution for x^2+x(2x-45)=0 equation:


Simplifying
x2 + x(2x + -45) = 0

Reorder the terms:
x2 + x(-45 + 2x) = 0
x2 + (-45 * x + 2x * x) = 0
x2 + (-45x + 2x2) = 0

Reorder the terms:
-45x + x2 + 2x2 = 0

Combine like terms: x2 + 2x2 = 3x2
-45x + 3x2 = 0

Solving
-45x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-15 + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Solution

x = {0, 15}

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