6t^2-2t+2=4t^2

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Solution for 6t^2-2t+2=4t^2 equation:


Simplifying
6t2 + -2t + 2 = 4t2

Reorder the terms:
2 + -2t + 6t2 = 4t2

Solving
2 + -2t + 6t2 = 4t2

Solving for variable 't'.

Combine like terms: 6t2 + -4t2 = 2t2
2 + -2t + 2t2 = 4t2 + -4t2

Combine like terms: 4t2 + -4t2 = 0
2 + -2t + 2t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1t + t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -1t + t2)' equal to zero and attempt to solve: Simplifying 1 + -1t + t2 = 0 Solving 1 + -1t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1t + -1 + t2 = 0 + -1 Reorder the terms: 1 + -1 + -1t + t2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t + t2 = 0 + -1 -1t + t2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1t + t2 = -1 The t term is -1t. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1t + 0.25 + t2 = -1 + 0.25 Reorder the terms: 0.25 + -1t + t2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1t + t2 = -0.75 Factor a perfect square on the left side: (t + -0.5)(t + -0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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