3x(x-5)+8(x-5)=

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Solution for 3x(x-5)+8(x-5)= equation:


Simplifying
3x(x + -5) + 8(x + -5) = 0

Reorder the terms:
3x(-5 + x) + 8(x + -5) = 0
(-5 * 3x + x * 3x) + 8(x + -5) = 0
(-15x + 3x2) + 8(x + -5) = 0

Reorder the terms:
-15x + 3x2 + 8(-5 + x) = 0
-15x + 3x2 + (-5 * 8 + x * 8) = 0
-15x + 3x2 + (-40 + 8x) = 0

Reorder the terms:
-40 + -15x + 8x + 3x2 = 0

Combine like terms: -15x + 8x = -7x
-40 + -7x + 3x2 = 0

Solving
-40 + -7x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667

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 = {-2.666666667, 5}

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