(x+16)(x+18)=-35

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Solution for (x+16)(x+18)=-35 equation:


Simplifying
(x + 16)(x + 18) = -35

Reorder the terms:
(16 + x)(x + 18) = -35

Reorder the terms:
(16 + x)(18 + x) = -35

Multiply (16 + x) * (18 + x)
(16(18 + x) + x(18 + x)) = -35
((18 * 16 + x * 16) + x(18 + x)) = -35
((288 + 16x) + x(18 + x)) = -35
(288 + 16x + (18 * x + x * x)) = -35
(288 + 16x + (18x + x2)) = -35

Combine like terms: 16x + 18x = 34x
(288 + 34x + x2) = -35

Solving
288 + 34x + x2 = -35

Solving for variable 'x'.

Reorder the terms:
288 + 35 + 34x + x2 = -35 + 35

Combine like terms: 288 + 35 = 323
323 + 34x + x2 = -35 + 35

Combine like terms: -35 + 35 = 0
323 + 34x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-323' to each side of the equation.
323 + 34x + -323 + x2 = 0 + -323

Reorder the terms:
323 + -323 + 34x + x2 = 0 + -323

Combine like terms: 323 + -323 = 0
0 + 34x + x2 = 0 + -323
34x + x2 = 0 + -323

Combine like terms: 0 + -323 = -323
34x + x2 = -323

The x term is 34x.  Take half its coefficient (17).
Square it (289) and add it to both sides.

Add '289' to each side of the equation.
34x + 289 + x2 = -323 + 289

Reorder the terms:
289 + 34x + x2 = -323 + 289

Combine like terms: -323 + 289 = -34
289 + 34x + x2 = -34

Factor a perfect square on the left side:
(x + 17)(x + 17) = -34

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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