x*(x+2)*4=21

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Solution for x*(x+2)*4=21 equation:


Simplifying
x(x + 2) * 4 = 21

Reorder the terms:
x(2 + x) * 4 = 21

Reorder the terms for easier multiplication:
4x(2 + x) = 21
(2 * 4x + x * 4x) = 21
(8x + 4x2) = 21

Solving
8x + 4x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + 8x + 4x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + 8x + 4x2 = 0

Factor a trinomial.
(-7 + -2x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-3.5, 1.5}

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