3x^2+5x-1=7x+7

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Solution for 3x^2+5x-1=7x+7 equation:


Simplifying
3x2 + 5x + -1 = 7x + 7

Reorder the terms:
-1 + 5x + 3x2 = 7x + 7

Reorder the terms:
-1 + 5x + 3x2 = 7 + 7x

Solving
-1 + 5x + 3x2 = 7 + 7x

Solving for variable 'x'.

Reorder the terms:
-1 + -7 + 5x + -7x + 3x2 = 7 + 7x + -7 + -7x

Combine like terms: -1 + -7 = -8
-8 + 5x + -7x + 3x2 = 7 + 7x + -7 + -7x

Combine like terms: 5x + -7x = -2x
-8 + -2x + 3x2 = 7 + 7x + -7 + -7x

Reorder the terms:
-8 + -2x + 3x2 = 7 + -7 + 7x + -7x

Combine like terms: 7 + -7 = 0
-8 + -2x + 3x2 = 0 + 7x + -7x
-8 + -2x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -2x + 3x2 = 0

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

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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-1.333333333, 2}

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