0=-16t(x-3)(x-3)+236

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Solution for 0=-16t(x-3)(x-3)+236 equation:


Simplifying
0 = -16t(x + -3)(x + -3) + 236

Reorder the terms:
0 = -16t(-3 + x)(x + -3) + 236

Reorder the terms:
0 = -16t(-3 + x)(-3 + x) + 236

Multiply (-3 + x) * (-3 + x)
0 = -16t(-3(-3 + x) + x(-3 + x)) + 236
0 = -16t((-3 * -3 + x * -3) + x(-3 + x)) + 236
0 = -16t((9 + -3x) + x(-3 + x)) + 236
0 = -16t(9 + -3x + (-3 * x + x * x)) + 236
0 = -16t(9 + -3x + (-3x + x2)) + 236

Combine like terms: -3x + -3x = -6x
0 = -16t(9 + -6x + x2) + 236
0 = (9 * -16t + -6x * -16t + x2 * -16t) + 236
0 = (-144t + 96tx + -16tx2) + 236

Reorder the terms:
0 = 236 + -144t + 96tx + -16tx2

Solving
0 = 236 + -144t + 96tx + -16tx2

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '144t' to each side of the equation.
0 + 144t = 236 + -144t + 96tx + 144t + -16tx2
Remove the zero:
144t = 236 + -144t + 96tx + 144t + -16tx2

Reorder the terms:
144t = 236 + -144t + 144t + 96tx + -16tx2

Combine like terms: -144t + 144t = 0
144t = 236 + 0 + 96tx + -16tx2
144t = 236 + 96tx + -16tx2

Add '-96tx' to each side of the equation.
144t + -96tx = 236 + 96tx + -96tx + -16tx2

Combine like terms: 96tx + -96tx = 0
144t + -96tx = 236 + 0 + -16tx2
144t + -96tx = 236 + -16tx2

Add '16tx2' to each side of the equation.
144t + -96tx + 16tx2 = 236 + -16tx2 + 16tx2

Combine like terms: -16tx2 + 16tx2 = 0
144t + -96tx + 16tx2 = 236 + 0
144t + -96tx + 16tx2 = 236

Reorder the terms:
-236 + 144t + -96tx + 16tx2 = 236 + -236

Combine like terms: 236 + -236 = 0
-236 + 144t + -96tx + 16tx2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-59 + 36t + -24tx + 4tx2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-59 + 36t + -24tx + 4tx2)' equal to zero and attempt to solve: Simplifying -59 + 36t + -24tx + 4tx2 = 0 Solving -59 + 36t + -24tx + 4tx2 = 0 Move all terms containing t to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 36t + -24tx + 59 + 4tx2 = 0 + 59 Reorder the terms: -59 + 59 + 36t + -24tx + 4tx2 = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 36t + -24tx + 4tx2 = 0 + 59 36t + -24tx + 4tx2 = 0 + 59 Combine like terms: 0 + 59 = 59 36t + -24tx + 4tx2 = 59 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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