30x^2-53x=21

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Solution for 30x^2-53x=21 equation:


Simplifying
30x2 + -53x = 21

Reorder the terms:
-53x + 30x2 = 21

Solving
-53x + 30x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + -53x + 30x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + -53x + 30x2 = 0

Factor a trinomial.
(-1 + -3x)(21 + -10x) = 0

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

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 = {-0.3333333333, 2.1}

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