8x(6x+10)=320whatisx

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Solution for 8x(6x+10)=320whatisx equation:


Simplifying
8x(6x + 10) = 320whatisx

Reorder the terms:
8x(10 + 6x) = 320whatisx
(10 * 8x + 6x * 8x) = 320whatisx
(80x + 48x2) = 320whatisx

Solving
80x + 48x2 = 320ahistwx

Solving for variable 'x'.

Reorder the terms:
-320ahistwx + 80x + 48x2 = 320ahistwx + -320ahistwx

Combine like terms: 320ahistwx + -320ahistwx = 0
-320ahistwx + 80x + 48x2 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-20ahistw + 5 + 3x) = 0

Ignore the factor 16.

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 '(-20ahistw + 5 + 3x)' equal to zero and attempt to solve: Simplifying -20ahistw + 5 + 3x = 0 Reorder the terms: 5 + -20ahistw + 3x = 0 Solving 5 + -20ahistw + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -20ahistw + -5 + 3x = 0 + -5 Reorder the terms: 5 + -5 + -20ahistw + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -20ahistw + 3x = 0 + -5 -20ahistw + 3x = 0 + -5 Combine like terms: 0 + -5 = -5 -20ahistw + 3x = -5 Add '20ahistw' to each side of the equation. -20ahistw + 20ahistw + 3x = -5 + 20ahistw Combine like terms: -20ahistw + 20ahistw = 0 0 + 3x = -5 + 20ahistw 3x = -5 + 20ahistw Divide each side by '3'. x = -1.666666667 + 6.666666667ahistw Simplifying x = -1.666666667 + 6.666666667ahistw

Solution

x = {0, -1.666666667 + 6.666666667ahistw}

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