8x(x-8)=17x^2-65x

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Solution for 8x(x-8)=17x^2-65x equation:


Simplifying
8x(x + -8) = 17x2 + -65x

Reorder the terms:
8x(-8 + x) = 17x2 + -65x
(-8 * 8x + x * 8x) = 17x2 + -65x
(-64x + 8x2) = 17x2 + -65x

Reorder the terms:
-64x + 8x2 = -65x + 17x2

Solving
-64x + 8x2 = -65x + 17x2

Solving for variable 'x'.

Reorder the terms:
-64x + 65x + 8x2 + -17x2 = -65x + 17x2 + 65x + -17x2

Combine like terms: -64x + 65x = 1x
1x + 8x2 + -17x2 = -65x + 17x2 + 65x + -17x2

Combine like terms: 8x2 + -17x2 = -9x2
1x + -9x2 = -65x + 17x2 + 65x + -17x2

Reorder the terms:
1x + -9x2 = -65x + 65x + 17x2 + -17x2

Combine like terms: -65x + 65x = 0
1x + -9x2 = 0 + 17x2 + -17x2
1x + -9x2 = 17x2 + -17x2

Combine like terms: 17x2 + -17x2 = 0
1x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -9x) = 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 '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111

Solution

x = {0, 0.1111111111}

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