=2x(5x-3)

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Solution for =2x(5x-3) equation:


Simplifying
0 = 2x(5x + -3)

Reorder the terms:
0 = 2x(-3 + 5x)
0 = (-3 * 2x + 5x * 2x)
0 = (-6x + 10x2)

Solving
0 = -6x + 10x2

Solving for variable 'x'.
Remove the zero:
6x + -10x2 = -6x + 10x2 + 6x + -10x2

Reorder the terms:
6x + -10x2 = -6x + 6x + 10x2 + -10x2

Combine like terms: -6x + 6x = 0
6x + -10x2 = 0 + 10x2 + -10x2
6x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
6x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + -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 '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {0, 0.6}

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