8x(2x-1)=14x

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Solution for 8x(2x-1)=14x equation:


Simplifying
8x(2x + -1) = 14x

Reorder the terms:
8x(-1 + 2x) = 14x
(-1 * 8x + 2x * 8x) = 14x
(-8x + 16x2) = 14x

Solving
-8x + 16x2 = 14x

Solving for variable 'x'.

Reorder the terms:
-8x + -14x + 16x2 = 14x + -14x

Combine like terms: -8x + -14x = -22x
-22x + 16x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
-22x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-11 + 8x) = 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 '(-11 + 8x)' equal to zero and attempt to solve: Simplifying -11 + 8x = 0 Solving -11 + 8x = 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 + 8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 0 + 11 8x = 0 + 11 Combine like terms: 0 + 11 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375

Solution

x = {0, 1.375}

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