x*x+1.5x=0

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Solution for x*x+1.5x=0 equation:


Simplifying
x * x + 1.5x = 0

Multiply x * x
x2 + 1.5x = 0

Reorder the terms:
1.5x + x2 = 0

Solving
1.5x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1.5 + x) = 0

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 '(1.5 + x)' equal to zero and attempt to solve: Simplifying 1.5 + x = 0 Solving 1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 0 + -1.5 x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x = -1.5 Simplifying x = -1.5

Solution

x = {0, -1.5}

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