(x-2)x+(2x-3)3x=

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


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

Reorder the terms:
(-2 + x) * x + (2x + -3) * 3x = 0

Reorder the terms for easier multiplication:
x(-2 + x) + (2x + -3) * 3x = 0
(-2 * x + x * x) + (2x + -3) * 3x = 0
(-2x + x2) + (2x + -3) * 3x = 0

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

Reorder the terms for easier multiplication:
-2x + x2 + 3x(-3 + 2x) = 0
-2x + x2 + (-3 * 3x + 2x * 3x) = 0
-2x + x2 + (-9x + 6x2) = 0

Reorder the terms:
-2x + -9x + x2 + 6x2 = 0

Combine like terms: -2x + -9x = -11x
-11x + x2 + 6x2 = 0

Combine like terms: x2 + 6x2 = 7x2
-11x + 7x2 = 0

Solving
-11x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 7x) = 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 '(-11 + 7x)' equal to zero and attempt to solve: Simplifying -11 + 7x = 0 Solving -11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 7x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 0 + 11 7x = 0 + 11 Combine like terms: 0 + 11 = 11 7x = 11 Divide each side by '7'. x = 1.571428571 Simplifying x = 1.571428571

Solution

x = {0, 1.571428571}

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