1845x^2+21x-30=0

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Solution for 1845x^2+21x-30=0 equation:


Simplifying
1845x2 + 21x + -30 = 0

Reorder the terms:
-30 + 21x + 1845x2 = 0

Solving
-30 + 21x + 1845x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 7x + 615x2) = 0

Factor a trinomial.
3((-2 + -15x)(5 + -41x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -15x)' equal to zero and attempt to solve: Simplifying -2 + -15x = 0 Solving -2 + -15x = 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 + -15x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 0 + 2 -15x = 0 + 2 Combine like terms: 0 + 2 = 2 -15x = 2 Divide each side by '-15'. x = -0.1333333333 Simplifying x = -0.1333333333

Subproblem 2

Set the factor '(5 + -41x)' equal to zero and attempt to solve: Simplifying 5 + -41x = 0 Solving 5 + -41x = 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 + -41x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -41x = 0 + -5 -41x = 0 + -5 Combine like terms: 0 + -5 = -5 -41x = -5 Divide each side by '-41'. x = 0.1219512195 Simplifying x = 0.1219512195

Solution

x = {-0.1333333333, 0.1219512195}

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