x(4x+17)=15

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Solution for x(4x+17)=15 equation:


Simplifying
x(4x + 17) = 15

Reorder the terms:
x(17 + 4x) = 15
(17 * x + 4x * x) = 15
(17x + 4x2) = 15

Solving
17x + 4x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + 17x + 4x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 17x + 4x2 = 0

Factor a trinomial.
(-5 + -1x)(3 + -4x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {-5, 0.75}

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