(15-x)(18-x)=(15*18)-116

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Solution for (15-x)(18-x)=(15*18)-116 equation:


Simplifying
(15 + -1x)(18 + -1x) = (15 * 18) + -116

Multiply (15 + -1x) * (18 + -1x)
(15(18 + -1x) + -1x * (18 + -1x)) = (15 * 18) + -116
((18 * 15 + -1x * 15) + -1x * (18 + -1x)) = (15 * 18) + -116
((270 + -15x) + -1x * (18 + -1x)) = (15 * 18) + -116
(270 + -15x + (18 * -1x + -1x * -1x)) = (15 * 18) + -116
(270 + -15x + (-18x + 1x2)) = (15 * 18) + -116

Combine like terms: -15x + -18x = -33x
(270 + -33x + 1x2) = (15 * 18) + -116

Multiply 15 * 18
270 + -33x + 1x2 = (270) + -116
270 + -33x + 1x2 = 270 + -116

Combine like terms: 270 + -116 = 154
270 + -33x + 1x2 = 154

Solving
270 + -33x + 1x2 = 154

Solving for variable 'x'.

Reorder the terms:
270 + -154 + -33x + 1x2 = 154 + -154

Combine like terms: 270 + -154 = 116
116 + -33x + 1x2 = 154 + -154

Combine like terms: 154 + -154 = 0
116 + -33x + 1x2 = 0

Factor a trinomial.
(4 + -1x)(29 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(29 + -1x)' equal to zero and attempt to solve: Simplifying 29 + -1x = 0 Solving 29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29

Solution

x = {4, 29}

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