3x(x+8)=7x+56

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Solution for 3x(x+8)=7x+56 equation:


Simplifying
3x(x + 8) = 7x + 56

Reorder the terms:
3x(8 + x) = 7x + 56
(8 * 3x + x * 3x) = 7x + 56
(24x + 3x2) = 7x + 56

Reorder the terms:
24x + 3x2 = 56 + 7x

Solving
24x + 3x2 = 56 + 7x

Solving for variable 'x'.

Reorder the terms:
-56 + 24x + -7x + 3x2 = 56 + 7x + -56 + -7x

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

Reorder the terms:
-56 + 17x + 3x2 = 56 + -56 + 7x + -7x

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

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

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-8, 2.333333333}

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