4(x+5)(8x+1)=

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Solution for 4(x+5)(8x+1)= equation:


Simplifying
4(x + 5)(8x + 1) = 0

Reorder the terms:
4(5 + x)(8x + 1) = 0

Reorder the terms:
4(5 + x)(1 + 8x) = 0

Multiply (5 + x) * (1 + 8x)
4(5(1 + 8x) + x(1 + 8x)) = 0
4((1 * 5 + 8x * 5) + x(1 + 8x)) = 0
4((5 + 40x) + x(1 + 8x)) = 0
4(5 + 40x + (1 * x + 8x * x)) = 0
4(5 + 40x + (1x + 8x2)) = 0

Combine like terms: 40x + 1x = 41x
4(5 + 41x + 8x2) = 0
(5 * 4 + 41x * 4 + 8x2 * 4) = 0
(20 + 164x + 32x2) = 0

Solving
20 + 164x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 41x + 8x2) = 0

Factor a trinomial.
4((5 + x)(1 + 8x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125

Solution

x = {-5, -0.125}

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