60x^2+224x-735=0

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Solution for 60x^2+224x-735=0 equation:


Simplifying
60x2 + 224x + -735 = 0

Reorder the terms:
-735 + 224x + 60x2 = 0

Solving
-735 + 224x + 60x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -6x)(21 + -10x) = 0

Subproblem 1

Set the factor '(-35 + -6x)' equal to zero and attempt to solve: Simplifying -35 + -6x = 0 Solving -35 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = 0 + 35 -6x = 0 + 35 Combine like terms: 0 + 35 = 35 -6x = 35 Divide each side by '-6'. x = -5.833333333 Simplifying x = -5.833333333

Subproblem 2

Set the factor '(21 + -10x)' equal to zero and attempt to solve: Simplifying 21 + -10x = 0 Solving 21 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -10x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 0 + -21 -10x = 0 + -21 Combine like terms: 0 + -21 = -21 -10x = -21 Divide each side by '-10'. x = 2.1 Simplifying x = 2.1

Solution

x = {-5.833333333, 2.1}

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