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

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


Simplifying
x2 + -3x = x(7x + x)

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

Combine like terms: 7x + x = 8x
-3x + x2 = x(8x)

Remove parenthesis around (8x)
-3x + x2 = x * 8x

Reorder the terms for easier multiplication:
-3x + x2 = 8x * x

Multiply x * x
-3x + x2 = 8x2

Solving
-3x + x2 = 8x2

Solving for variable 'x'.

Combine like terms: x2 + -8x2 = -7x2
-3x + -7x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-3x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + 7x) = 0

Ignore the factor -1.

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 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286

Solution

x = {0, -0.4285714286}

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