14x^2+6x-20=0

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Solution for 14x^2+6x-20=0 equation:


Simplifying
14x2 + 6x + -20 = 0

Reorder the terms:
-20 + 6x + 14x2 = 0

Solving
-20 + 6x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + 7x2) = 0

Factor a trinomial.
2((-10 + -7x)(1 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + -7x)' equal to zero and attempt to solve: Simplifying -10 + -7x = 0 Solving -10 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 0 + 10 -7x = 0 + 10 Combine like terms: 0 + 10 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429

Subproblem 2

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

Solution

x = {-1.428571429, 1}

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