(2x-4)(8x-6)=0

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Solution for (2x-4)(8x-6)=0 equation:


Simplifying
(2x + -4)(8x + -6) = 0

Reorder the terms:
(-4 + 2x)(8x + -6) = 0

Reorder the terms:
(-4 + 2x)(-6 + 8x) = 0

Multiply (-4 + 2x) * (-6 + 8x)
(-4(-6 + 8x) + 2x * (-6 + 8x)) = 0
((-6 * -4 + 8x * -4) + 2x * (-6 + 8x)) = 0
((24 + -32x) + 2x * (-6 + 8x)) = 0
(24 + -32x + (-6 * 2x + 8x * 2x)) = 0
(24 + -32x + (-12x + 16x2)) = 0

Combine like terms: -32x + -12x = -44x
(24 + -44x + 16x2) = 0

Solving
24 + -44x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -11x + 4x2) = 0

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

Ignore the factor 4.

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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0.75, 2}

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