(1-8x)(3-2x)=

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Solution for (1-8x)(3-2x)= equation:


Simplifying
(1 + -8x)(3 + -2x) = 0

Multiply (1 + -8x) * (3 + -2x)
(1(3 + -2x) + -8x * (3 + -2x)) = 0
((3 * 1 + -2x * 1) + -8x * (3 + -2x)) = 0
((3 + -2x) + -8x * (3 + -2x)) = 0
(3 + -2x + (3 * -8x + -2x * -8x)) = 0
(3 + -2x + (-24x + 16x2)) = 0

Combine like terms: -2x + -24x = -26x
(3 + -26x + 16x2) = 0

Solving
3 + -26x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -8x)(3 + -2x) = 0

Subproblem 1

Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125

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 = {0.125, 1.5}

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