3=5x^2-2x

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Solution for 3=5x^2-2x equation:


Simplifying
3 = 5x2 + -2x

Reorder the terms:
3 = -2x + 5x2

Solving
3 = -2x + 5x2

Solving for variable 'x'.

Reorder the terms:
3 + 2x + -5x2 = -2x + 2x + 5x2 + -5x2

Combine like terms: -2x + 2x = 0
3 + 2x + -5x2 = 0 + 5x2 + -5x2
3 + 2x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
3 + 2x + -5x2 = 0

Factor a trinomial.
(1 + -1x)(3 + 5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {1, -0.6}

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