(3x+7)(x-8)=0

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Solution for (3x+7)(x-8)=0 equation:


Simplifying
(3x + 7)(x + -8) = 0

Reorder the terms:
(7 + 3x)(x + -8) = 0

Reorder the terms:
(7 + 3x)(-8 + x) = 0

Multiply (7 + 3x) * (-8 + x)
(7(-8 + x) + 3x * (-8 + x)) = 0
((-8 * 7 + x * 7) + 3x * (-8 + x)) = 0
((-56 + 7x) + 3x * (-8 + x)) = 0
(-56 + 7x + (-8 * 3x + x * 3x)) = 0
(-56 + 7x + (-24x + 3x2)) = 0

Combine like terms: 7x + -24x = -17x
(-56 + -17x + 3x2) = 0

Solving
-56 + -17x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

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 = {-2.333333333, 8}

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