2x^2+7x-46=3

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Solution for 2x^2+7x-46=3 equation:


Simplifying
2x2 + 7x + -46 = 3

Reorder the terms:
-46 + 7x + 2x2 = 3

Solving
-46 + 7x + 2x2 = 3

Solving for variable 'x'.

Reorder the terms:
-46 + -3 + 7x + 2x2 = 3 + -3

Combine like terms: -46 + -3 = -49
-49 + 7x + 2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-49 + 7x + 2x2 = 0

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

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5

Solution

x = {-7, 3.5}

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