(1x)(2x)+2+14x=90

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Solution for (1x)(2x)+2+14x=90 equation:


Simplifying
(1x)(2x) + 2 + 14x = 90

Remove parenthesis around (1x)
1x(2x) + 2 + 14x = 90

Remove parenthesis around (2x)
1x * 2x + 2 + 14x = 90

Reorder the terms for easier multiplication:
1 * 2x * x + 2 + 14x = 90

Multiply 1 * 2
2x * x + 2 + 14x = 90

Multiply x * x
2x2 + 2 + 14x = 90

Reorder the terms:
2 + 14x + 2x2 = 90

Solving
2 + 14x + 2x2 = 90

Solving for variable 'x'.

Reorder the terms:
2 + -90 + 14x + 2x2 = 90 + -90

Combine like terms: 2 + -90 = -88
-88 + 14x + 2x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-88 + 14x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-44 + 7x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 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 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-11, 4}

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