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Simplifying 6x * 4x + 3x = 4095 Reorder the terms for easier multiplication: 6 * 4x * x + 3x = 4095 Multiply 6 * 4 24x * x + 3x = 4095 Multiply x * x 24x2 + 3x = 4095 Reorder the terms: 3x + 24x2 = 4095 Solving 3x + 24x2 = 4095 Solving for variable 'x'. Reorder the terms: -4095 + 3x + 24x2 = 4095 + -4095 Combine like terms: 4095 + -4095 = 0 -4095 + 3x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1365 + x + 8x2) = 0 Factor a trinomial. 3((-105 + -8x)(13 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-105 + -8x)' equal to zero and attempt to solve: Simplifying -105 + -8x = 0 Solving -105 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + 105 + -8x = 0 + 105 Combine like terms: -105 + 105 = 0 0 + -8x = 0 + 105 -8x = 0 + 105 Combine like terms: 0 + 105 = 105 -8x = 105 Divide each side by '-8'. x = -13.125 Simplifying x = -13.125Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-13.125, 13}
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