x(15x+19)=10

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Solution for x(15x+19)=10 equation:


Simplifying
x(15x + 19) = 10

Reorder the terms:
x(19 + 15x) = 10
(19 * x + 15x * x) = 10
(19x + 15x2) = 10

Solving
19x + 15x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 19x + 15x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 19x + 15x2 = 0

Factor a trinomial.
(-5 + -3x)(2 + -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 '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-1.666666667, 0.4}

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