(x+3)(x+3)=16x

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Solution for (x+3)(x+3)=16x equation:


Simplifying
(x + 3)(x + 3) = 16x

Reorder the terms:
(3 + x)(x + 3) = 16x

Reorder the terms:
(3 + x)(3 + x) = 16x

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = 16x
((3 * 3 + x * 3) + x(3 + x)) = 16x
((9 + 3x) + x(3 + x)) = 16x
(9 + 3x + (3 * x + x * x)) = 16x
(9 + 3x + (3x + x2)) = 16x

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = 16x

Solving
9 + 6x + x2 = 16x

Solving for variable 'x'.

Reorder the terms:
9 + 6x + -16x + x2 = 16x + -16x

Combine like terms: 6x + -16x = -10x
9 + -10x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
9 + -10x + x2 = 0

Factor a trinomial.
(1 + -1x)(9 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {1, 9}

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