x(8x-7)=15

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Solution for x(8x-7)=15 equation:


Simplifying
x(8x + -7) = 15

Reorder the terms:
x(-7 + 8x) = 15
(-7 * x + 8x * x) = 15
(-7x + 8x2) = 15

Solving
-7x + 8x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + -7x + 8x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -7x + 8x2 = 0

Factor a trinomial.
(-1 + -1x)(15 + -8x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(15 + -8x)' equal to zero and attempt to solve: Simplifying 15 + -8x = 0 Solving 15 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875

Solution

x = {-1, 1.875}

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