(2x-10)(8x-6)=0

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Solution for (2x-10)(8x-6)=0 equation:


Simplifying
(2x + -10)(8x + -6) = 0

Reorder the terms:
(-10 + 2x)(8x + -6) = 0

Reorder the terms:
(-10 + 2x)(-6 + 8x) = 0

Multiply (-10 + 2x) * (-6 + 8x)
(-10(-6 + 8x) + 2x * (-6 + 8x)) = 0
((-6 * -10 + 8x * -10) + 2x * (-6 + 8x)) = 0
((60 + -80x) + 2x * (-6 + 8x)) = 0
(60 + -80x + (-6 * 2x + 8x * 2x)) = 0
(60 + -80x + (-12x + 16x2)) = 0

Combine like terms: -80x + -12x = -92x
(60 + -92x + 16x2) = 0

Solving
60 + -92x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -23x + 4x2) = 0

Factor a trinomial.
4((3 + -4x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.75, 5}

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