4(1-7x)(8x+7)=0

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Solution for 4(1-7x)(8x+7)=0 equation:


Simplifying
4(1 + -7x)(8x + 7) = 0

Reorder the terms:
4(1 + -7x)(7 + 8x) = 0

Multiply (1 + -7x) * (7 + 8x)
4(1(7 + 8x) + -7x * (7 + 8x)) = 0
4((7 * 1 + 8x * 1) + -7x * (7 + 8x)) = 0
4((7 + 8x) + -7x * (7 + 8x)) = 0
4(7 + 8x + (7 * -7x + 8x * -7x)) = 0
4(7 + 8x + (-49x + -56x2)) = 0

Combine like terms: 8x + -49x = -41x
4(7 + -41x + -56x2) = 0
(7 * 4 + -41x * 4 + -56x2 * 4) = 0
(28 + -164x + -224x2) = 0

Solving
28 + -164x + -224x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -41x + -56x2) = 0

Factor a trinomial.
4((1 + -7x)(7 + 8x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429

Subproblem 2

Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875

Solution

x = {0.1428571429, -0.875}

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