(x-8)(2x-5)=

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Solution for (x-8)(2x-5)= equation:


Simplifying
(x + -8)(2x + -5) = 0

Reorder the terms:
(-8 + x)(2x + -5) = 0

Reorder the terms:
(-8 + x)(-5 + 2x) = 0

Multiply (-8 + x) * (-5 + 2x)
(-8(-5 + 2x) + x(-5 + 2x)) = 0
((-5 * -8 + 2x * -8) + x(-5 + 2x)) = 0
((40 + -16x) + x(-5 + 2x)) = 0
(40 + -16x + (-5 * x + 2x * x)) = 0
(40 + -16x + (-5x + 2x2)) = 0

Combine like terms: -16x + -5x = -21x
(40 + -21x + 2x2) = 0

Solving
40 + -21x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(8 + -1x) = 0

Subproblem 1

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {2.5, 8}

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