-29x^2+48x-19=0

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Solution for -29x^2+48x-19=0 equation:


Simplifying
-29x2 + 48x + -19 = 0

Reorder the terms:
-19 + 48x + -29x2 = 0

Solving
-19 + 48x + -29x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + x)(19 + -29x) = 0

Subproblem 1

Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(19 + -29x)' equal to zero and attempt to solve: Simplifying 19 + -29x = 0 Solving 19 + -29x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -29x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -29x = 0 + -19 -29x = 0 + -19 Combine like terms: 0 + -19 = -19 -29x = -19 Divide each side by '-29'. x = 0.6551724138 Simplifying x = 0.6551724138

Solution

x = {1, 0.6551724138}

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