14x-7x(2x-1)=

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Solution for 14x-7x(2x-1)= equation:


Simplifying
14x + -7x(2x + -1) = 0

Reorder the terms:
14x + -7x(-1 + 2x) = 0
14x + (-1 * -7x + 2x * -7x) = 0
14x + (7x + -14x2) = 0

Combine like terms: 14x + 7x = 21x
21x + -14x2 = 0

Solving
21x + -14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(3 + -2x) = 0

Ignore the factor 7.

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 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0, 1.5}

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