2x-10x(x+6)=0

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Solution for 2x-10x(x+6)=0 equation:


Simplifying
2x + -10x(x + 6) = 0

Reorder the terms:
2x + -10x(6 + x) = 0
2x + (6 * -10x + x * -10x) = 0
2x + (-60x + -10x2) = 0

Combine like terms: 2x + -60x = -58x
-58x + -10x2 = 0

Solving
-58x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(29 + 5x) = 0

Ignore the factor -2.

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 '(29 + 5x)' equal to zero and attempt to solve: Simplifying 29 + 5x = 0 Solving 29 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 5x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 5x = 0 + -29 5x = 0 + -29 Combine like terms: 0 + -29 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8

Solution

x = {0, -5.8}

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