(2x+9)(x-8)=-72

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Solution for (2x+9)(x-8)=-72 equation:


Simplifying
(2x + 9)(x + -8) = -72

Reorder the terms:
(9 + 2x)(x + -8) = -72

Reorder the terms:
(9 + 2x)(-8 + x) = -72

Multiply (9 + 2x) * (-8 + x)
(9(-8 + x) + 2x * (-8 + x)) = -72
((-8 * 9 + x * 9) + 2x * (-8 + x)) = -72
((-72 + 9x) + 2x * (-8 + x)) = -72
(-72 + 9x + (-8 * 2x + x * 2x)) = -72
(-72 + 9x + (-16x + 2x2)) = -72

Combine like terms: 9x + -16x = -7x
(-72 + -7x + 2x2) = -72

Add '72' to each side of the equation.
-72 + -7x + 72 + 2x2 = -72 + 72

Reorder the terms:
-72 + 72 + -7x + 2x2 = -72 + 72

Combine like terms: -72 + 72 = 0
0 + -7x + 2x2 = -72 + 72
-7x + 2x2 = -72 + 72

Combine like terms: -72 + 72 = 0
-7x + 2x2 = 0

Solving
-7x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 2x) = 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 '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5

Solution

x = {0, 3.5}

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