160=-16x^2+144x+160

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Solution for 160=-16x^2+144x+160 equation:


Simplifying
160 = -16x2 + 144x + 160

Reorder the terms:
160 = 160 + 144x + -16x2

Add '-160' to each side of the equation.
160 + -160 = 160 + 144x + -160 + -16x2

Combine like terms: 160 + -160 = 0
0 = 160 + 144x + -160 + -16x2

Reorder the terms:
0 = 160 + -160 + 144x + -16x2

Combine like terms: 160 + -160 = 0
0 = 0 + 144x + -16x2
0 = 144x + -16x2

Solving
0 = 144x + -16x2

Solving for variable 'x'.
Remove the zero:
-144x + 16x2 = 144x + -16x2 + -144x + 16x2

Reorder the terms:
-144x + 16x2 = 144x + -144x + -16x2 + 16x2

Combine like terms: 144x + -144x = 0
-144x + 16x2 = 0 + -16x2 + 16x2
-144x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-144x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(-9 + x) = 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9

Solution

x = {0, 9}

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