3-2x(4x-1)=0

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Solution for 3-2x(4x-1)=0 equation:


Simplifying
3 + -2x(4x + -1) = 0

Reorder the terms:
3 + -2x(-1 + 4x) = 0
3 + (-1 * -2x + 4x * -2x) = 0
3 + (2x + -8x2) = 0

Solving
3 + 2x + -8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(1 + 2x) = 0

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Subproblem 2

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {0.75, -0.5}

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