4x(x+2)=165

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Solution for 4x(x+2)=165 equation:


Simplifying
4x(x + 2) = 165

Reorder the terms:
4x(2 + x) = 165
(2 * 4x + x * 4x) = 165
(8x + 4x2) = 165

Solving
8x + 4x2 = 165

Solving for variable 'x'.

Reorder the terms:
-165 + 8x + 4x2 = 165 + -165

Combine like terms: 165 + -165 = 0
-165 + 8x + 4x2 = 0

Factor a trinomial.
(-15 + -2x)(11 + -2x) = 0

Subproblem 1

Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5

Subproblem 2

Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5

Solution

x = {-7.5, 5.5}

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