-35=-3x-2x^2

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Solution for -35=-3x-2x^2 equation:


Simplifying
-35 = -3x + -2x2

Solving
-35 = -3x + -2x2

Solving for variable 'x'.

Reorder the terms:
-35 + 3x + 2x2 = -3x + 3x + -2x2 + 2x2

Combine like terms: -3x + 3x = 0
-35 + 3x + 2x2 = 0 + -2x2 + 2x2
-35 + 3x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-35 + 3x + 2x2 = 0

Factor a trinomial.
(-5 + -1x)(7 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

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 = {-5, 3.5}

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