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Simplifying 16x2 + -15x + 3 = 3(3x + -2) Reorder the terms: 3 + -15x + 16x2 = 3(3x + -2) Reorder the terms: 3 + -15x + 16x2 = 3(-2 + 3x) 3 + -15x + 16x2 = (-2 * 3 + 3x * 3) 3 + -15x + 16x2 = (-6 + 9x) Solving 3 + -15x + 16x2 = -6 + 9x Solving for variable 'x'. Reorder the terms: 3 + 6 + -15x + -9x + 16x2 = -6 + 9x + 6 + -9x Combine like terms: 3 + 6 = 9 9 + -15x + -9x + 16x2 = -6 + 9x + 6 + -9x Combine like terms: -15x + -9x = -24x 9 + -24x + 16x2 = -6 + 9x + 6 + -9x Reorder the terms: 9 + -24x + 16x2 = -6 + 6 + 9x + -9x Combine like terms: -6 + 6 = 0 9 + -24x + 16x2 = 0 + 9x + -9x 9 + -24x + 16x2 = 9x + -9x Combine like terms: 9x + -9x = 0 9 + -24x + 16x2 = 0 Factor a trinomial. (3 + -4x)(3 + -4x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0.75, 0.75}
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