(15+2x)(11+2x)=

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Solution for (15+2x)(11+2x)= equation:


Simplifying
(15 + 2x)(11 + 2x) = 0

Multiply (15 + 2x) * (11 + 2x)
(15(11 + 2x) + 2x * (11 + 2x)) = 0
((11 * 15 + 2x * 15) + 2x * (11 + 2x)) = 0
((165 + 30x) + 2x * (11 + 2x)) = 0
(165 + 30x + (11 * 2x + 2x * 2x)) = 0
(165 + 30x + (22x + 4x2)) = 0

Combine like terms: 30x + 22x = 52x
(165 + 52x + 4x2) = 0

Solving
165 + 52x + 4x2 = 0

Solving for variable 'x'.

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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