x=-2x^2+7x

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


Simplifying
x = -2x2 + 7x

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

Solving
x = 7x + -2x2

Solving for variable 'x'.

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

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

Combine like terms: 7x + -7x = 0
-6x + 2x2 = 0 + -2x2 + 2x2
-6x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {0, 3}

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