24x^2-2x=16x-21x^2

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Solution for 24x^2-2x=16x-21x^2 equation:


Simplifying
24x2 + -2x = 16x + -21x2

Reorder the terms:
-2x + 24x2 = 16x + -21x2

Solving
-2x + 24x2 = 16x + -21x2

Solving for variable 'x'.

Reorder the terms:
-2x + -16x + 24x2 + 21x2 = 16x + -21x2 + -16x + 21x2

Combine like terms: -2x + -16x = -18x
-18x + 24x2 + 21x2 = 16x + -21x2 + -16x + 21x2

Combine like terms: 24x2 + 21x2 = 45x2
-18x + 45x2 = 16x + -21x2 + -16x + 21x2

Reorder the terms:
-18x + 45x2 = 16x + -16x + -21x2 + 21x2

Combine like terms: 16x + -16x = 0
-18x + 45x2 = 0 + -21x2 + 21x2
-18x + 45x2 = -21x2 + 21x2

Combine like terms: -21x2 + 21x2 = 0
-18x + 45x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(-2 + 5x) = 0

Ignore the factor 9.

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 '(-2 + 5x)' equal to zero and attempt to solve: Simplifying -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4

Solution

x = {0, 0.4}

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