15x^2=41x-14

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Solution for 15x^2=41x-14 equation:


Simplifying
15x2 = 41x + -14

Reorder the terms:
15x2 = -14 + 41x

Solving
15x2 = -14 + 41x

Solving for variable 'x'.

Reorder the terms:
14 + -41x + 15x2 = -14 + 41x + 14 + -41x

Reorder the terms:
14 + -41x + 15x2 = -14 + 14 + 41x + -41x

Combine like terms: -14 + 14 = 0
14 + -41x + 15x2 = 0 + 41x + -41x
14 + -41x + 15x2 = 41x + -41x

Combine like terms: 41x + -41x = 0
14 + -41x + 15x2 = 0

Factor a trinomial.
(2 + -5x)(7 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333

Solution

x = {0.4, 2.333333333}

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