16x(x+1)=117

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Solution for 16x(x+1)=117 equation:


Simplifying
16x(x + 1) = 117

Reorder the terms:
16x(1 + x) = 117
(1 * 16x + x * 16x) = 117
(16x + 16x2) = 117

Solving
16x + 16x2 = 117

Solving for variable 'x'.

Reorder the terms:
-117 + 16x + 16x2 = 117 + -117

Combine like terms: 117 + -117 = 0
-117 + 16x + 16x2 = 0

Factor a trinomial.
(-13 + -4x)(9 + -4x) = 0

Subproblem 1

Set the factor '(-13 + -4x)' equal to zero and attempt to solve: Simplifying -13 + -4x = 0 Solving -13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 0 + 13 -4x = 0 + 13 Combine like terms: 0 + 13 = 13 -4x = 13 Divide each side by '-4'. x = -3.25 Simplifying x = -3.25

Subproblem 2

Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25

Solution

x = {-3.25, 2.25}

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