4X(X+2)+5=37

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Solution for 4X(X+2)+5=37 equation:


Simplifying
4X(X + 2) + 5 = 37

Reorder the terms:
4X(2 + X) + 5 = 37
(2 * 4X + X * 4X) + 5 = 37
(8X + 4X2) + 5 = 37

Reorder the terms:
5 + 8X + 4X2 = 37

Solving
5 + 8X + 4X2 = 37

Solving for variable 'X'.

Reorder the terms:
5 + -37 + 8X + 4X2 = 37 + -37

Combine like terms: 5 + -37 = -32
-32 + 8X + 4X2 = 37 + -37

Combine like terms: 37 + -37 = 0
-32 + 8X + 4X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + 2X + X2) = 0

Factor a trinomial.
4((-4 + -1X)(2 + -1X)) = 0

Ignore the factor 4.

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 '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2

Solution

X = {-4, 2}

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