-3x^2-7x+2=6

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Solution for -3x^2-7x+2=6 equation:


Simplifying
-3x2 + -7x + 2 = 6

Reorder the terms:
2 + -7x + -3x2 = 6

Solving
2 + -7x + -3x2 = 6

Solving for variable 'x'.

Reorder the terms:
2 + -6 + -7x + -3x2 = 6 + -6

Combine like terms: 2 + -6 = -4
-4 + -7x + -3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-4 + -7x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 7x + 3x2) = 0

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

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-1.333333333, -1}

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