(2w+14)(w-3)=x+90

Solution for (2w+14)(w-3)=x+90 equation:

Simplifying
(2w + 14)(w + -3) = x + 90

Reorder the terms:
(14 + 2w)(w + -3) = x + 90

Reorder the terms:
(14 + 2w)(-3 + w) = x + 90

Multiply (14 + 2w) * (-3 + w)
(14(-3 + w) + 2w * (-3 + w)) = x + 90
((-3 * 14 + w * 14) + 2w * (-3 + w)) = x + 90
((-42 + 14w) + 2w * (-3 + w)) = x + 90
(-42 + 14w + (-3 * 2w + w * 2w)) = x + 90
(-42 + 14w + (-6w + 2w2)) = x + 90

Combine like terms: 14w + -6w = 8w
(-42 + 8w + 2w2) = x + 90

Reorder the terms:
-42 + 8w + 2w2 = 90 + x

Solving
-42 + 8w + 2w2 = 90 + x

Solving for variable 'w'.

Reorder the terms:
-42 + -90 + 8w + 2w2 + -1x = 90 + x + -90 + -1x

Combine like terms: -42 + -90 = -132
-132 + 8w + 2w2 + -1x = 90 + x + -90 + -1x

Reorder the terms:
-132 + 8w + 2w2 + -1x = 90 + -90 + x + -1x

Combine like terms: 90 + -90 = 0
-132 + 8w + 2w2 + -1x = 0 + x + -1x
-132 + 8w + 2w2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-132 + 8w + 2w2 + -1x = 0

The solution to this equation could not be determined.