6x^2-14x+10=2

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Solution for 6x^2-14x+10=2 equation:


Simplifying
6x2 + -14x + 10 = 2

Reorder the terms:
10 + -14x + 6x2 = 2

Solving
10 + -14x + 6x2 = 2

Solving for variable 'x'.

Reorder the terms:
10 + -2 + -14x + 6x2 = 2 + -2

Combine like terms: 10 + -2 = 8
8 + -14x + 6x2 = 2 + -2

Combine like terms: 2 + -2 = 0
8 + -14x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -7x + 3x2) = 0

Factor a trinomial.
2((1 + -1x)(4 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {1, 1.333333333}

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