2x(x-7)=-3x

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Solution for 2x(x-7)=-3x equation:


Simplifying
2x(x + -7) = -3x

Reorder the terms:
2x(-7 + x) = -3x
(-7 * 2x + x * 2x) = -3x
(-14x + 2x2) = -3x

Solving
-14x + 2x2 = -3x

Solving for variable 'x'.

Reorder the terms:
-14x + 3x + 2x2 = -3x + 3x

Combine like terms: -14x + 3x = -11x
-11x + 2x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-11x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 2x) = 0

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 '(-11 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5

Solution

x = {0, 5.5}

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