55x^2+-62x-21=0

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Solution for 55x^2+-62x-21=0 equation:


Simplifying
55x2 + -62x + -21 = 0

Reorder the terms:
-21 + -62x + 55x2 = 0

Solving
-21 + -62x + 55x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -11x)(7 + -5x) = 0

Subproblem 1

Set the factor '(-3 + -11x)' equal to zero and attempt to solve: Simplifying -3 + -11x = 0 Solving -3 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -11x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 0 + 3 -11x = 0 + 3 Combine like terms: 0 + 3 = 3 -11x = 3 Divide each side by '-11'. x = -0.2727272727 Simplifying x = -0.2727272727

Subproblem 2

Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4

Solution

x = {-0.2727272727, 1.4}

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