x(15x+16)=15

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Solution for x(15x+16)=15 equation:


Simplifying
x(15x + 16) = 15

Reorder the terms:
x(16 + 15x) = 15
(16 * x + 15x * x) = 15
(16x + 15x2) = 15

Solving
16x + 15x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + 16x + 15x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 16x + 15x2 = 0

Factor a trinomial.
(-5 + -3x)(3 + -5x) = 0

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

Subproblem 2

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {-1.666666667, 0.6}

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