-0.5*32x^2+12x+22=22

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Solution for -0.5*32x^2+12x+22=22 equation:


Simplifying
-0.5 * 32x2 + 12x + 22 = 22

Multiply -0.5 * 32
-16x2 + 12x + 22 = 22

Reorder the terms:
22 + 12x + -16x2 = 22

Add '-22' to each side of the equation.
22 + 12x + -22 + -16x2 = 22 + -22

Reorder the terms:
22 + -22 + 12x + -16x2 = 22 + -22

Combine like terms: 22 + -22 = 0
0 + 12x + -16x2 = 22 + -22
12x + -16x2 = 22 + -22

Combine like terms: 22 + -22 = 0
12x + -16x2 = 0

Solving
12x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(3 + -4x) = 0

Ignore the factor 4.

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 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {0, 0.75}

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