(4+X)(5X-8)=

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Solution for (4+X)(5X-8)= equation:


Simplifying
(4 + X)(5X + -8) = 0

Reorder the terms:
(4 + X)(-8 + 5X) = 0

Multiply (4 + X) * (-8 + 5X)
(4(-8 + 5X) + X(-8 + 5X)) = 0
((-8 * 4 + 5X * 4) + X(-8 + 5X)) = 0
((-32 + 20X) + X(-8 + 5X)) = 0
(-32 + 20X + (-8 * X + 5X * X)) = 0
(-32 + 20X + (-8X + 5X2)) = 0

Combine like terms: 20X + -8X = 12X
(-32 + 12X + 5X2) = 0

Solving
-32 + 12X + 5X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-4 + -1X)(8 + -5X) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -5X)' equal to zero and attempt to solve: Simplifying 8 + -5X = 0 Solving 8 + -5X = 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 + -5X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5X = 0 + -8 -5X = 0 + -8 Combine like terms: 0 + -8 = -8 -5X = -8 Divide each side by '-5'. X = 1.6 Simplifying X = 1.6

Solution

X = {-4, 1.6}

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