2x(5x-3)=11x

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Solution for 2x(5x-3)=11x equation:


Simplifying
2x(5x + -3) = 11x

Reorder the terms:
2x(-3 + 5x) = 11x
(-3 * 2x + 5x * 2x) = 11x
(-6x + 10x2) = 11x

Solving
-6x + 10x2 = 11x

Solving for variable 'x'.

Reorder the terms:
-6x + -11x + 10x2 = 11x + -11x

Combine like terms: -6x + -11x = -17x
-17x + 10x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
-17x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-17 + 10x) = 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 '(-17 + 10x)' equal to zero and attempt to solve: Simplifying -17 + 10x = 0 Solving -17 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 10x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 10x = 0 + 17 10x = 0 + 17 Combine like terms: 0 + 17 = 17 10x = 17 Divide each side by '10'. x = 1.7 Simplifying x = 1.7

Solution

x = {0, 1.7}

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